# Chapter 6 - Algebra: Equations and Inequalities - 6.5 Quadratic Equations - Exercise Set 6.5: 3

$x^{2}$ - 2x - 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-5)(x+3) F = x.x = $x^{2}$ O = x.3 = 3x I = -5.x = -5x L = -5.3 = -15 (x-5)(x+3) = $x^{2}$ + 3x - 5x - 15 combine like terms $x^{2}$ - 2x - 15

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