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: 4

Answer

$x^{2}$ + x - 2

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-1)(x+2) F = x.x = $x^{2}$ O = x.2 = 2x I = -1.x = -x L = -1.2 = -2 (x-1)(x+2) = $x^{2}$ + 2x - x - 2 combine like terms $x^{2}$ + x - 2
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