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: 8

Answer

$14x^{2}$ - 71x +36

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, (2x-9 )(7x - 4) F = 2x.7x = $14x^{2}$ O = 2x.-4 = -8x I = -9. 7x= -63x L = -9.-4 = 36 (2x-9 )(7x - 4) = $14x^{2}$ -8x -63x + 36 combine like terms $14x^{2}$ - 71x +36
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