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: 76

Answer

$3x^{4}-7x^{3}+7x^{2}-\displaystyle \frac{32}{3}x+3$

Work Step by Step

Multiply each term of one polynomial with the terms of the other polynomial, and combine like terms $\left.\begin{array}{cllllll} x(3x^{3}-6x^{2}+5x-9) = & 3x^{4} & -6x^{3} & +5x^{2} & -9x & \\ + & & & & & \\ -\frac{1}{3}(3x^{3}-6x^{2}+5x-9) = & & -x^{3} & +2x^{2} & -\frac{5}{3}x & +3 \end{array}\right.$ Combine like terms: = $3x^{4}-7x^{3}+7x^{2}-\displaystyle \frac{32}{3}x+3$
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