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: 86

Answer

$10z^{4}-26z^{3}+20z^{2}-22z+12$

Work Step by Step

$ \begin{array}{lllllll} & & & 5z^{3} & -3z^{2} & +4z & -3\\ & & & & & 2z & -4\\ & & & & -- & -- & --\\ & & & -20z^{3} & +12z^{2} & -16z & +12\\ & & 10z^{4} & -6z^{3} & +8z^{2} & -6z & \\ \hline & & & & & & \\ & & 10z^{4} & -26z^{3} & +20z^{2} & -22z & +12 \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow-4(5z^{3}-3z^{2}+4z-3)\\ \leftarrow 2z(5z^{3}-3z^{2}+4z-3)\\ \\ \leftarrow\text{combine } \end{array}$
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