## Algebra: A Combined Approach (4th Edition)

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