Answer: D
Step-by-step explanation:
[tex]\frac{x^{2}-15x+56} {x-7}[/tex]
First, factor the numerator (top):
x² - 15x + 56
∧
-1 -56
-2 -28
-4 -14
-7 -8 = -15
(x - 7)(x - 8)
Next, cancel out like terms from the numerator and denominator:
[tex]\frac{(x-7)(x-8)} {x-7}[/tex] = x - 8
