Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.2 - Factoring Trinomials of the Form x2+bx+c - Vocabulary and Readiness Check: 8

Answer

$x^{2}$ - 13x + 22 = (x - 2) (x - 11) Answer is -11

Work Step by Step

$x^{2}$ - 13x + 22 = (x - 2) (x - 11) We need such factors that the product is 22, and their sum is -13. But, one factor is given $\rightarrow$ -2. Thus the other factor is $\frac{22}{-2}$ = -11. Since (-11)(-2) = 22, and (-11) + (-2) = -13, -11 is the other factor.
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