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: 57

Answer

$2x^2+9x+4$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the Distributive Property, the given expression, $ (2x+1)(x+4) ,$ is equivalent to \begin{array}{l}\require{cancel} 2x(x)+2x(4)+1(x)+1(4) \\\\= 2x^2+8x+1x+4 \\\\= 2x^2+9x+4 .\end{array}
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