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: 85

Answer

$12z^{4}-14z^{3}+19z^{2}-22z+8$

Work Step by Step

$ \begin{array}{lllllll} & & & 4z^{3} & -2z^{2} & +5z & -4\\ & & & & & 3z & -2\\ & & & & -- & -- & --\\ & & & -8z^{3} & +4z^{2} & -10z & +8\\ & & 12z^{4} & -6z^{3} & +15z^{2} & -12z & \\ \hline & & & & & & \\ & & 12z^{4} & -14z^{3} & +19z^{2} & -22z & +8 \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow-2(4z^{3}-2z^{2}+5z-4)\\ \leftarrow 3z(4z^{3}-2z^{2}+5z-4)\\ \\ \leftarrow\text{combine } \end{array}$
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