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: 68

Answer

$x^3+3x^2+7x+10$

Work Step by Step

Using the Distributive Property, the given expression, $ (x+2)(x^2+x+5) ,$ is equivalent to \begin{array}{l}\require{cancel} x(x^2)+x(x)+x(5)+2(x^2)+2(x)+2(5) \\\\= x^3+x^2+5x+2x^2+2x+10 \\\\= x^3+(x^2+2x^2)+(5x+2x)+10 \\\\= x^3+3x^2+7x+10 .\end{array}
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