Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.5 - Multiplication of Polynomials - Exercise - Page 225: 18

Answer

$$10x^7+40x^6-5x^4.$$

Work Step by Step

By multiplying each term of the polynomial by the monomial, and then adding the products, we have $$5x^4(2x^3+8x^2-1)=5x^4(2x^3)+5x^4(8x^2)-5x^4(1)\\ =10x^7+40x^6-5x^4.$$
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