Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 13



Work Step by Step

Using the Distributive Property, the given expression simplifies to \begin{align*} & (2x+3)(x^3-x+2) \\&= [2x(x^3)+2x(-x)+2x(2)]+[3(x^3)+3(-x)+3(2)] \\&= [2x^4-2x^2+4x]+[3x^3-3x+6] \\&= 2x^4+3x^3-2x^2+(4x-3x)+6 \\&= 2x^4+3x^3-2x^2+x+6 .\end{align*}
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