Dividing Polynomials: The Long Division Method#mathteachergon #polynomials #grade10maths 11. 4x3-3x5 ANSWER: Yes, Quintic Function, -3, 0. 12. Synthetic Division. 13. synthetic division is an easy process of dividing polynomials by a binomial with the degree of 1 and has a 1 as leading coefficient. 14. example: we can use synthetic division if 3X^2+20X+3 / X-2 or 10X^6+3X^4+20X-3 / X+4. 15.Synthetic Division. Since dividing by \(x-c\) is a way to check if a number, \(c\), is a zero of the polynomial, it would be nice to have a faster way to divide by \(x-c\) than having to use long division every …The answer to the division is the quotient, being the polynomial across the top of the long-division symbol: x + 2. Demonstrates through worked examples how to do long division …A generalised version of the well-known arithmetic operation known as long division, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree in algebra.The long division method of polynomials is one of the most common methods of dividing polynomials. In this …Dividing. Sometimes it is easy to divide a polynomial by splitting it at the "+" and "−" signs in the top part, like this (press play): When the polynomial was split into parts we still had to keep the "/3" under each one. Then the highlighted parts were "reduced" ( 6/3 = 2 and 3/3 = 1) to leave the answer of 2x-1. Half of U.S. businesses are at stage 2 (out of 4), aka "digital observers." They've started to cross the digital divide, but not finished. * Required Field Your Name: * Your E-Mail...Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at the beginning of the section. Divide 2x3 − 3x2 + 4x + 5 by x + 2 using the long division algorithm.Divide Polynomials Using Long Division. Divide a polynomial by a binomial, we follow a procedure very similar to long division of numbers. So let’s look carefully the steps we take when we divide a 3-digit number, 875, by a 2-digit number, 25. We check division by multiplying the quotient by the divisor.Polynomial Long Division Calculator - apply polynomial long division step-by-stepDivide Polynomials Using Long Division. Divide a polynomial by a binomial, we follow a procedure very similar to long division of numbers. So let’s look carefully the steps we take when we divide a 3-digit number, 875, by a 2-digit number, 25. We check division by multiplying the quotient by the divisor. If we did the division …Using Synthetic Division to Divide Polynomials. As we’ve seen, long division of polynomials can involve many steps and be quite cumbersome. Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1.. To illustrate the process, recall the example at the …Example 2: Divide the polynomial 35x 3 - 14x 2 + 21x + 3 by the monomial 7x using the long division method and write the quotient and the remainder.. Solution: We will use the concept of dividing polynomials by monomials using the long division method to find the value of (35x 3 - 14x 2 + 21x + 3) / 7x. Thus, on dividing 35x 3 - 14x 2 + 21x + 3 by 7x, …Polynomial Division. As with integers, operations related to division are key to many computations with polynomials. The Wolfram Language includes not only highly optimized univariate polynomial-division algorithms, but also state-of-the-art multivariate generalizations. PolynomialQuotient PolynomialRemainder PolynomialQuotientRemainder.Aug 24, 2020 · Divide Polynomials Using Long Division. Divide a polynomial by a binomial, we follow a procedure very similar to long division of numbers. So let’s look carefully the steps we take when we divide a 3-digit number, 875, by a 2-digit number, 25. We check division by multiplying the quotient by the divisor. I have been toiling around polynom package to typeset polynomial long division. The polynom package produces wonderful long division with step by step process. But I just have two problems. Let me tell you what I need exactly. Here is the output that I produced with polynom for \polylongdiv{X^3+X^2-1}{X-1}. But instead of spaces for the missing x, I …Step 1: Divide the leading term of the dividend of the polynomial by the leading term of the divisor to get the first term of the quotient. 2x 4 /x = 2x 3. This means you have to multiply the divisor by 2x3 to get the first step. 2x 3 (x+1) = 2x 4 +2x 3. The remainder must be 4x3 + x2 + 12x + 20. Step 2: Now again divide the leading term of the ...Dividing by a Binomial. First, recall how you can use long division to divide two whole numbers, say 900 divided by 37. \(\ 3 7 \longdiv { {\color{red}9 0} 0 }\) First, you would think about how many 37s are in 90, as 9 is too small. (Note: you could also think, how many 40s are there in 90.) South Africa, once on the economic fast track, has been hobbled by political and social divisions over the past few years. South Africa, once on the economic fast track, has been h...How to perform polynomial long division when terms are missing... use placeholders. Polynomial long division with a no remainder. Polynomial division and rat...Nov 21, 2023 · Let us look at a problem using long division, setting it up, dividing one equation into another, and seeing what comes out. Consider this problem. It might be presented as follows: 2 x 4 + 5 x 3 ... When you are asked to divide a polynomial by a monomial and it is not already in fraction form, write a fraction with the polynomial in the numerator and the monomial in the denominator. Exercise 2.4.4. Find the quotient: (18x3 − 36x2) ÷ 6x. Answer. Exercise 2.4.5. Find the quotient: (27b3 − 33b2) ÷ 3b.Nov 21, 2023 · Let us look at a problem using long division, setting it up, dividing one equation into another, and seeing what comes out. Consider this problem. It might be presented as follows: 2 x 4 + 5 x 3 ... First, arrange the given polynomial in the descending order of the power of the variable. Step 2: Add the missing terms with zero as the coefficient. Divide the polynomial a ( x) by b ( x) using the same method that we use to divide the numbers. a ( x): 6 x 4 + 0 x 3 – 9 x 2 + 3 x + 6 = x 2 – 2. b ( x): x 2 + 0 x – 2.Dividing. Polynomials can sometimes be divided using the simple methods shown on Dividing Polynomials. But sometimes it is better to use "Long Division" (a method similar to Long Division for Numbers) Numerator and Denominator. We can give each polynomial a name: the top polynomial is the numerator; the bottom polynomial is the …Here are the steps to perform the long division of a polynomial by a monomial. Step 1: Divide the first term of the dividend (5x 2) by the first term of the divisor (5x), and put that as the first term in the quotient (x). Step 2: Now, subtract it and bring down the remaining term (s) of the dividend (25x).This video tutorial explains how to perform long division of polynomials with remainder and with missing terms. Introduction to Polynomials: ...The division algorithm allows us to divide two polynomials. To set up this division there are two basic rules that must be adhered to: The polynomials of the divisor and dividend need to be in descending order, which means the terms of a polynomial are written in the order of descending powers of variables.; There should be no gaps in the descending …Topic: Dividing Polynomials Using Long Division and Synthetic Division. Values Integrated: Attentiveness, cooperation and participation in class discussion. Materials: PowerPoint Presentation, Marker/Chalk and board, Laptop, Projector/Television, Activity sheets Reference/s: MATH 10 Learners Module Pages 57-Department of Education.The video breaks down the process of dividing polynomials by linear factors. It starts with a given polynomial and a known factor, then uses polynomial division to rewrite the expression as a product of linear factors. The video emphasizes understanding the steps and the reasoning behind each one. Anmol divides (x^2-3x+2) by (x-2) and then checks the solution.17 Jun 2019 ... The steps of polynomial long division are as follows. ... 2) take the term of the quotient you just found and multiply it by the divisor. so the ...If there is a remainder, place the remainder over the divisor and add it to your quotient answer. (This is the same manner of expressing the remainder that you saw in elementary long division.) Divide: (3x2 + x3 - 2x + 6) by (x - 1) Be sure that the polynomial is in descending order (by powers). (x3 + 3x2 - 2x + 6) by (x - 1)In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic technique called long division.It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones. Sometimes using a shorthand …In this tutorial on dividing polynomials, we’ll look at how to divide a polynomial by a monomial or by another polynomial. We’ll explore long division, synthetic division, and …Learn how to divide polynomials using the long division method with detailed solutions and examples. See how to handle different types of divisors, such as binomials, trinomials, and polynomials with missing terms. Here are the steps in dividing polynomials using the long method: Arrange the indices of the polynomial in descending order. Replace the missing term (s) with 0. Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient. Multiply the divisor by the first term ...Then: Divide the first term of the numerator by the first term of the denominator, and put that in the answer. Multiply the denominator by that answer, put that below the numerator. Subtract to create a new polynomial. , using the new polynomial. It is easier to show with an example! Example: x2 − 3x − 10x + 2. Improve your math knowledge with free questions in "Divide polynomials using long division" and thousands of other math skills.understand and apply the synthetic division process to rewrite the quotient of two polynomials where the divisor is. monic and linear, nonmonic and linear, nonlinear, use synthetic division to find an equivalent expression in a real-world problem involving the quotient of polynomials, understand the relationship between two polynomials and ...By using the box method/approach to polynomial long division we have a fun alternative way to divide polynomials by an expression. Often algebra students ha...President Obama won a second term by marrying the new Democratic coalition with just enough of the old to overcome enduring economic disenchantment and a cavernous racial divide. P...Let us look at a problem using long division, setting it up, dividing one equation into another, and seeing what comes out. Consider this problem. It might be presented as follows: 2 x 4 + 5 x 3 ...This division problem had a remainder of 0. This tells us that the dividend is divided evenly by the divisor, and that the divisor is a factor of the dividend. Example 5.4.2 5.4. 2: Using Long Division to Divide a Third-Degree Polynomial. Divide 6x3 + 11x2 − 31x + 15 6 x 3 + 11 x 2 − 31 x + 15 by 3x − 2 3 x − 2.In order to divide polynomials using synthetic division, the denominator (the number (s) on the bottom of the fraction) must satisfy two rules: 1 - Be a linear expression, in other words, each term must either be a constant or the product of a constant and a single variable to the power of 1. 2 - The leading coefficient (first number) must be a 1.Students will be able to. divide a polynomial by a first-degree divisor to find the quotient (no remainder), divide a polynomial by a higher-degree divisor to find the quotient (no remainder), find an unknown given that the result of a polynomial division equation has no remainder, solve applied problems using polynomial division, including.We simply don’t have the data in developing countries to know the status quo or whether the digital divide is being closed. Digital concerns underpin many of the UN’s Sustainable D...The process of long division begins by dividing the dividend’s left-most digit by the divisor. The result’s first digit is the quotient (rounded to an integer), and the remainder is calculated (this step is notated as a subtraction). ... Division of polynomials – when dividing polynomials we usually use synthetic division or polynomial ...18 Mar 2021 ... Polynomial long division is the same, but the optimal size is determined by the highest power and not the coefficients. This is because we lose ...This video tutorial explains how to perform long division of polynomials with remainder and with missing terms. Introduction to Polynomials: ... The five main branches of chemistry are organic chemistry, inorganic chemistry, analytical chemistry, physical chemistry and biochemistry. Chemistry can be further divided into man...The latest cancer news, meetings and events, blog posts, infographics, videos and webinars from DCP and other agencies for cancer research. Tweets by NCIprevention Tweets by NCISym...Looking for some privacy when you work at home? Our list of the best room dividers will help you create a home cubicle for not a lot of money. If you buy something through our link...How to Divide Polynomials Using Long Division. To divide the polynomial using Long Division, we can use the following steps: Step 1: Arrenge both Divisors and Dividends in the decreasing order of degree of each of term i.e., a n x n + a n−1 x n−1 + . . . + a 1 x + a 0. Step 2: Arrenge the Divisor and Dividend Long Division Form. …In order to divide polynomials using synthetic division, the denominator (the number (s) on the bottom of the fraction) must satisfy two rules: 1 - Be a linear expression, in other words, each term must either be a constant or the product of a constant and a single variable to the power of 1. 2 - The leading coefficient (first number) must be a 1.Polynomial long division takes time and practice to master. Work lots of problems and remember that you may check your answers by multiplying the quotient by ...Unit 4: Polynomial division. After we have added, subtracted, and multiplied polynomials, it's time to divide them! This will prove to be a little bit more sophisticated. It turns out that not every polynomial division results in a polynomial. When it doesn't, we end up with a remainder (just like with integer division!). Division Of Polynomials - Download as a PDF or view online for free. Submit Search. Upload. ... Polynomial long division. Polynomial long division hentra76 Polynomial long division. Polynomial long division Deepak Kumar Dividing polynomials. Dividing polynomials salvie alvaro Dividing Polynomials Slide Share. …Divide Polynomials Using Long Division. Divide a polynomial by a binomial, we follow a procedure very similar to long division of numbers. So let’s look carefully the steps we take when we divide a 3-digit number, 875, by a 2-digit number, 25. We check division by multiplying the quotient by the divisor.Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Number Line Mean, Median & Mode Algebra Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences …Let us arrange the polynomial to be divided in the standard form. 3x3 + x2 + 2x + 5. Divisor = x2 + 2x + 1. Using the method of long division of polynomials, let us divide 3x3 + x2 + 2x + 5 by x2 + 2x + 1. Step 1: To obtain the first term of the quotient, divide the highest degree term of the dividend, i.e. 3x3 by the highest degree term of the ... How To: Given a polynomial and a binomial, use long division to divide the polynomial by the binomial. Set up the division problem. Determine the first term of the quotient by dividing the leading term of the dividend by the leading term of the divisor. Multiply the answer by the divisor and write it below the like terms of the dividend. There are two types of cell division: mitosis and meiosis. Learn more about what happens to cells during each of these processes. There are two types of cell division: mitosis and ...Example Problem 1: Dividing Polynomials Using Long Division. Divide ( x 3 − 5 x 2 + 3 x − 4) ÷ ( x − 3) Our first step is to set this up: x − 3 x 3 − 5 x 2 + 3 x − 4. The first step ...A step-by-step guide to dividing polynomials using long division. A long-division polynomial is an algorithm for dividing a polynomial into another polynomial of the same or lower degree. The long division of polynomials also consists of a divisor, a quotient, a dividend, and a remainder.6 Feb 2022 ... The general technique of dividing polynomials is similar to long division with numbers. Khan Academy exercises to practice: 1. Divide ...Practice Dividing Polynomials Using Long Division with a Remainder with practice problems and explanations. Get instant feedback, extra help and step-by-step explanations. Boost your Algebra grade ...Learn how to divide polynomials using the long division method with detailed solutions and examples. See how to handle different types of divisors, such as binomials, trinomials, and polynomials with missing terms.Jul 27, 2022 · Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at the beginning of the section. Divide 2x3 − 3x2 + 4x + 5 by x + 2 using the long division algorithm. Nov 17, 2021 · a + b c = a c + b c. Applying this property results in terms that can be treated as quotients of monomials. Example 5.5.3. Divide: − 5x4 + 25x3 − 15x2 5x2. Solution: Break up the fraction by dividing each term in the numerator by the monomial in the denominator and then simplify each term. Answer: − x2 + 5x − 3 ⋅ 1. Let us look at a problem using long division, setting it up, dividing one equation into another, and seeing what comes out. Consider this problem. It might be presented as follows: 2 x 4 + 5 x 3 ...MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one b...Section 5.1 : Dividing Polynomials. For problems 1 – 3 use long division to perform the indicated division. Divide 3x4 −5x2 +3 3 x 4 − 5 x 2 + 3 by x+2 x + 2 Solution. Divide x3 +2x2 −3x+4 x 3 + 2 x 2 − 3 x + 4 by x −7 x − 7 Solution. Divide 2x5 +x4 −6x+9 2 x 5 + x 4 − 6 x + 9 by x2 −3x +1 x 2 − 3 x + 1 Solution.27 Nov 2018 ... Dividing polynomials long division examples with solutions | polynomial long division examples | Dividing Polynomials by monomials, ...Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be …Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at the beginning of the section. Divide by using the long division algorithm. There is a lot of repetition in the table.How to Divide Polynomials Using Long Division. To divide the polynomial using Long Division, we can use the following steps: Step 1: Arrenge both Divisors and Dividends in the decreasing order of degree of each of term i.e., a n x n + a n−1 x n−1 + . . . + a 1 x + a 0. Step 2: Arrenge the Divisor and Dividend Long Division Form. …Example Problem 1: Dividing Polynomials Using Long Division. Divide ( x 3 − 5 x 2 + 3 x − 4) ÷ ( x − 3) Our first step is to set this up: x − 3 x 3 − 5 x 2 + 3 x − 4. The first step ...In sociology, social divisions are categories such as class, race, gender and geographic location, that indicate differences in lifestyle and experience. Social divisions stem from...Polynomial long division, sometimes known as algebraic long division. And if it sounds familiar, because you first learned about long division in fourth or fifth grade, it's because it's a very similar process where you would take your x plus one and you would try to divide it into your x squared plus three x plus two. And you do.Add a comment. 1. The first step is to divide the two polynomials. For the same degree, you get a constant plus a ratio where the numerator is at least one degree less. In this case, look at @RossMillikan ' s answer. This might be still problematic to integrate, so you look for roots of the denominator. −1/2 − 1 / 2 is a real root. The Division of Cancer Prevention (DCP) conducts and supports research to determine a person's risk of cancer and to find ways to reduce the risk. This knowledge is critical to mak...First, arrange the given polynomial in the descending order of the power of the variable. Step 2: Add the missing terms with zero as the coefficient. Divide the polynomial a ( x) by b ( x) using the same method that we use to divide the numbers. a ( x): 6 x 4 + 0 x 3 – 9 x 2 + 3 x + 6 = x 2 – 2. b ( x): x 2 + 0 x – 2.The solution: create custom dividers using lattice strips. Watch this video to find out how. Expert Advice On Improving Your Home Videos Latest View All Guides Latest View All Radi...In sociology, social divisions are categories such as class, race, gender and geographic location, that indicate differences in lifestyle and experience. Social divisions stem from...
Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at the beginning of the section. …. Charging station near me
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one b...You may want to look at the lessons on dividing polynomials by polynomials (also called long division) and synthetic division (a simplified form of long division) Polynomial Division: Dividing by a Monomial Show Video. Explains and shows examples of how to divide a polynomial by a monomial Show Video. Dividing Polynomials by Monomials.Practice Dividing Polynomials Using Long Division with a Remainder with practice problems and explanations. Get instant feedback, extra help and step-by-step explanations. Boost your Algebra grade ...Synthetic Division. Since dividing by \(x-c\) is a way to check if a number, \(c\), is a zero of the polynomial, it would be nice to have a faster way to divide by \(x-c\) than having to use long division every …Synthetic division is mostly used when the leading coefficients of the numerator and denominator are equal to 1 and the divisor is a first degree binomial. Let's use synthetic division to divide the same expression that we divided above with polynomial long division: x3+2x2−5x+7 x−3 x 3 + 2 x 2 − 5 x + 7 x − 3.In algebra, an algorithm for dividing a polynomial by another polynomial of the same or lower degree is called polynomial long division. It is the generalised version of the …1 Mar 2019 ... Long division is a special case of polynomial division where x = 10 and coefficients are integers between 0 and 9. For example, when you divide ...If there is a remainder, place the remainder over the divisor and add it to your quotient answer. (This is the same manner of expressing the remainder that you saw in elementary long division.) Divide: (3x2 + x3 - 2x + 6) by (x - 1) Be sure that the polynomial is in descending order (by powers). (x3 + 3x2 - 2x + 6) by (x - 1)Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at the beginning of the section. …1 Mar 2019 ... Long division is a special case of polynomial division where x = 10 and coefficients are integers between 0 and 9. For example, when you divide ...21 Dec 2021 ... We are familiar with the long division algorithm for ordinary arithmetic. We begin by dividing into the digits of the dividend that have the ...Apr 20, 2010 · Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly... It turns out that not every polynomial division results in a polynomial. When it doesn't, we end up with a remainder (just like with integer division!). After we have added, …Polynomials can sometimes be divided using the simple methods shown on Dividing Polynomials. But sometimes it is better to use "Long Division" (a method similar to Long Division for Numbers) See moreHow To: Given a polynomial and a binomial, use long division to divide the polynomial by the binomial. Set up the division problem. Determine the first term of the quotient by dividing the leading term of the dividend by the leading term of the divisor. Multiply the answer by the divisor and write it below the like terms of the dividend..
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Cut my life into pieces lyrics | Examples of dividing polynomials by long division. Show Video. Long Division of Polynomials A slightly harder example Divide a degree 4 polynomial by a degree 2 trinomial Show Video. Divide Polynomials using long division - Part 1. Show Video. Dividing polynomials using long division - Part 2. Show Video. Try the free Mathway …In order to divide polynomials using synthetic division, the denominator (the number (s) on the bottom of the fraction) must satisfy two rules: 1 - Be a linear expression, in other words, each term must either be a constant or the product of a constant and a single variable to the power of 1. 2 - The leading coefficient (first number) must be a 1.Example Problem 1: Dividing Polynomials Using Long Division. Divide ( x 3 − 5 x 2 + 3 x − 4) ÷ ( x − 3) Our first step is to set this up: x − 3 x 3 − 5 x 2 + 3 x − 4. The first step ......
Macarena lyrics | This video tutorial explains how to perform long division of polynomials with remainder and with missing terms. Introduction to Polynomials: ... How to Divide Polynomials using Long Division - PolynomialsFollow me on my social media accounts:Facebook:https://www.facebook.com/MathTutorial...Tiktok:http...Aug 24, 2020 · Divide Polynomials Using Long Division. Divide a polynomial by a binomial, we follow a procedure very similar to long division of numbers. So let’s look carefully the steps we take when we divide a 3-digit number, 875, by a 2-digit number, 25. We check division by multiplying the quotient by the divisor. ...
Food order in train | The same goes for polynomial long division. The −7 is just a constant term; the 3x is "too big" to go into it, just like the 5 was "too big" to go into the 2 in the numerical long division example above. Once you get to a remainder that's "smaller" (in polynomial degree) than the divisor, you're done.The dramatic speed of the operating-model transformation prompted by the coronavirus is raising truly existential challenges for traditional firms, and for the many employees that ......
Held up | http://mathispower4u.wordpress.com/This method allows us to divide two polynomials. For example, if we were to divide 2x3 − 3x2 + 4x + 5 by x + 2 using the long division algorithm, it would look like this: 2x2 − 7x + 18 Step 1. Divide: 2x3 x Step 4. Divide: − 7x2 x = − 7x Step 7. Divide: 18x x = 18 x + 2 / ¯ 2x3 − 3x2 + 4x + 5 Original problem − (2x3 + 4x2 _) Step 2. ...
Hailey whitters everything she ain't | Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example at the beginning of the section. Divide 2x3 − 3x2 + 4x + 5 by x + 2 using the long division algorithm. Use long division to divide polynomials We are familiar with the long division algorithm for ordinary arithmetic. We begin by dividing into the digits of the dividend that have the …The long division is the most suitable and reliable method of dividing polynomials, even though the procedure is a bit tiresome, the technique is practical for all problems. The process of dividing polynomials is just similar to dividing integers or numbers using the long division method....
Food decoration | We simply don’t have the data in developing countries to know the status quo or whether the digital divide is being closed. Digital concerns underpin many of the UN’s Sustainable D...The answer to the division is the quotient, being the polynomial across the top of the long-division symbol: x + 2. Demonstrates through worked examples how to do long division …How To: Given a polynomial and a binomial, use long division to divide the polynomial by the binomial. Set up the division problem. Determine the first term of the quotient by dividing the leading term of the dividend by the leading term of the divisor. Multiply the answer by the divisor and write it below the like terms of the dividend....