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Aug 02, 2016 · Synthetic division is another method of dividing polynomials. It is a shorthand of long division that only works when you are dividing by a polynomial of degree 1. Usually the divisor is in the form . In synthetic division, unlike long division, you are only concerned with the coefficients in the polynomials. Consider the same problem as above:

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Long Division of Polynomials Trevor C/James S Jun 2010 First, recall the terms used in division: The dividend is divided by the divisor, and the answer is the quotient. 1) To set up a problem involving the division of polynomials, it is best to arrange each term from highest to lowest degree and include 0 coefficients for missing degree terms.

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(2) Degree of polynomial : The highest power of the variable in a polynomial is called as the degree of the polynomial. For Example: The degree of p(x) = x 5 – x 3 + 7 is 5. (3) Linear polynomial : A polynomial of degree one is called a linear polynomial. For Example: 1/(2x – 7), √s + 5, etc. are some linear polynomial.

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(2) Degree of polynomial : The highest power of the variable in a polynomial is called as the degree of the polynomial. For Example: The degree of p(x) = x 5 – x 3 + 7 is 5. (3) Linear polynomial : A polynomial of degree one is called a linear polynomial. For Example: 1/(2x – 7), √s + 5, etc. are some linear polynomial. polynomial h(x) of largest degree such that h(x) divides both f(x) and g(x). Euclidean Algorithm for Polynomials: Given two polynomials f(x) and g(x) of degree at most n, their greatest common divisor h(x) , can be computed using at most 2n divisions of polynomials of degree at most n. Moreover we can also nd polynomials s(x) and t(x)

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Dividing Polynomials with Long and Synthetic Division: Practice Problems 10:11 Remainder Theorem & Factor Theorem: Definition & Examples 7:00 Factoring Polynomial Expressions 6:18

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Division of polynomials, known as long division, is a bit complex. Today, we are going to make things simple for you and help you learn the right way to divide polynomials. Start by making sure that the polynomial is written in descending order. Use a zero to fill in the missing term. See full list on codeproject.com

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