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: 7

Answer

$x^{2}$ - 7x + 12 = (x - 4)(x - 3) Answer is - 3

Work Step by Step

$x^{2}$ - 7x + 12 = (x - 4)(x - 3) We need factors of 12 whose sum is -7. But, one factor is already given $\rightarrow$ (-4). Thus the other factor is $\frac{12}{-4}$ = -3. All parameters are satisified since - 4 - 3 = - 7, and, (-4)(-3) = 12. Thus answer is is -3.
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