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: 90

Answer

$2n^{5}+n^{4}-n^{3}+n^{2}-n+3$

Work Step by Step

$ \begin{array}{ccccccccc} & & n^{4} & -n^{3} & +n^{2} & -n & +1 & & (*)\\ & & & & & 2n & +3 & & \\ & & -- & -- & -- & -- & -- & & \\ & & 3n^{4} & -3n^{3} & +3n^{2} & -3n & +3 & ... & \leftarrow 3\times(*)\\ & 2n^{5} & -2n^{4} & +2n^{3} & -2n^{2} & +2n & & ... & \leftarrow 2n\times(*)\\ \hline & & & & & & & & \\ & 2n^{5} & +n^{4} & -n^{3} & +n^{2} & -n & +3 & ... & \leftarrow combine \end{array}$
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