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: 75

Answer

$4x^{4}-4x^{3}+6x^{2}-\displaystyle \frac{17}{2}x+3$

Work Step by Step

Multiply each term of one polynomial with the terms of the other polynomial, and combine like terms $\left.\begin{array}{cllllll} x(4x^{3}-2x^{2}+5x-6) = & 4x^{4} & -2x^{3} & +5x^{2} & -6x & \\ + & & & & & \\ -\frac{1}{2}(4x^{3}-2x^{2}+5x-6) = & & -2x^{3} & +x^{2} & -\frac{5}{2}x & +3 \end{array}\right.$ Combining like terms, =$4x^{4}-4x^{3}+6x^{2}-\displaystyle \frac{17}{2}x+3$
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