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 - Page 428: 6

Answer

$x^{2}$ + 12x + 35 = (x + 5)( x + $7$) Answer = (x $+$ $7$)

Work Step by Step

In $x^{2}$ + 12x + 35, We look for factors of 35, whose sum is 12. One factor is already given, 5. Thus other factor is $\frac{35}{5}$ = 7. Check: Sum of 7 and 5 is 12, and 7 $\times$ 5 =35. Thus other factor = 7. $x^{2}$ + 12x + 35 = (x + 5)( x + $7$)
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