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
$$5x^4(2x^3+8x^2-1)=5x^4(2x^3)+5x^4(8x^2)-5x^4(1)\\
=10x^7+40x^6-5x^4.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
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
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