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: 78

Answer

$x^{4}+x^{3}-6x^{2}-5x-1$

Work Step by Step

Multiply each term of one polynomial with the terms of the other polynomial, and combine like terms $ \begin{array}{ccccccccc} x^{2}(x^{2}-2x-1) = & x^{4} & -2x^{3} & -x^{2} & & & \\ + & & & & & & \\ 3x(x^{2}-2x-1) = & & 3x^{3} & -6x^{2} & -3x & & \\ + & & & & & & \\ 1(x^{2}-2x-1)= & & & x^{2} & -2x & -1 & \\ \hline & & & & & & \\ \text{Combine} & x^{4} & +x^{3} & -6x^{2} & -5x & -1 & \end{array} $
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