Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises: 13

Answer

$8x^{4}-28x^{3}+4x^{2}$

Work Step by Step

We start with the given expression: $4x(2x^3-7x^2+x)$ We apply the distributive property to multiply the monomial by the binomial: $(4x)(2x^3)+(4x)(-7x^2)+(4x)(x)$ We multiply the coefficients and add the exponents on each term to arrive at our answer: $$8x^{3+1}-28x^{1+2}+4x^{1+1}$$$$8x^{4}-28x^{3}+4x^{2}$$
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