Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.5 Quadratic Equations - Exercise Set 6.5: 2

Answer

$x^{2}$ + 9x+14

Work Step by Step

Two binomials can be quickly multiplied by using the FOIL method, in which F represents the product of the first terms in each binomial, O represents the product of the outside terms, I represents the product of the two inside terms, and L represents the product of the last, (x+7)(x+2) F = x.x = $x^{2}$ O = x.2 = 2x I = 7.x = 7x L = 7.2 = 14 (x+7)(x+2) = $x^{2}$ + 2x+7x+14 combine like terms $x^{2}$ + 9x+14
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