Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Review - Page 407: 119

Answer

$$2x^3-x^2+2+\frac{-1}{2x-1}$$

Work Step by Step

$$(4x^4 - 4x^3 + x^2 + 4x - 3)\div(2x-1)$$ To divide polynomials, do the following steps: 1. Divide the first term of the numerator by the first term of the denominator, and write that in the answer. 2. Multiply the denominator by that answer, put that below the numerator 3. Subtract to create a new polynomial Repeat these steps until the degree of the remainder is less than the degree of the divisor. The remainder then becomes part of the answer by writing it as the numerator of the divisor. Thus, we have $2x^3-x^2+2+\frac{-1}{2x-1}$ as the answer. Below is the solution.
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