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 - Page 399: 1


$x^{2}$ + 8x+15

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+3)(x+5) F = x.x = $x^{2}$ O = x.5 = 5x I = 3.x = 3x L = 3.5 = 15 (x+3)(x+5) = $x^{2}$ + 5x+3x+15 combine like terms $x^{2}$ + 8x+15
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