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: 67

Answer

$x^3+3x^2+5x+3$

Work Step by Step

Using the Distributive Property, the given expression, $ (x+1)(x^2+2x+3) ,$ is equivalent to \begin{array}{l}\require{cancel} x(x^2)+x(2x)+x(3)+1(x^2)+1(2x)+1(3) \\\\= x^3+2x^2+3x+x^2+2x+3 \\\\= x^3+(2x^2+x^2)+(3x+2x)+3 \\\\= x^3+3x^2+5x+3 .\end{array}
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