Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.2 - Multiplying Polynomials - Exercise Set - Page 359: 89

Answer

$4y^{6}-2y^{5}-6y^{4}+5y^{3}-5y^{2}+8y-3$

Work Step by Step

$ \begin{array}{lllllll} & 2y^{5} & & -3y^{3} & +y^{2} & -2y & +3\\ & & & & & 2y & -1\\ & & -- & -- & -- & -- & --\\ & -2y^{5} & & +3y^{3} & -y^{2} & +2y & -3\\ 4y^{6} & & -6y^{4} & +2y^{3} & -4y^{2} & +6y & \\ \hline & & & & & & \\ 4y^{6} & -2y^{5} & -6y^{4} & +5y^{3} & -5y^{2} & +8y & -3 \end{array} \quad \begin{array}{l} .\\ .\\ .\\ \leftarrow-1(2y^{5}-3y^{3}+y^{2}-2y+3)\\ \leftarrow 2y(2y^{5}-3y^{3}+y^{2}-2y+3)\\ \\ \leftarrow\text{combine } \end{array}$ $4y^{6}-2y^{5}-6y^{4}+5y^{3}-5y^{2}+8y-3$
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