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: 82

Answer

$ 4y^{3} -25y^{2} +37y -15 $

Work Step by Step

$ \begin{array}{lllllll} & & & & y^{2} & -5y & +3\\ & & & & & 4y & -5\\ & & & & -- & -- & --\\ & & & & -5y^{2} & +25y & -15\\ & & & 4y^{3} & -20y^{2} & +12y & \\ \hline & & & & & & \\ & & & 4y^{3} & -25y^{2} & +37y & -15 \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow-5(y^{2}-5y+3)\\ \leftarrow 4y(y^{2}-5y+3)\\ \\ \leftarrow\text{combine } \end{array}$
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