Question

divide. if the polynomial does not divide evenly, include the remainder as a fraction. (-6b - 52) ÷ (b + 9)

Explanation:

Step1: Rewrite dividend to match divisor

Rewrite $-6b - 52$ as $-6(b + 9) + 2$
Verification: $-6(b + 9) + 2 = -6b - 54 + 2 = -6b - 52$

Step2: Split the division

$$\frac{-6(b + 9) + 2}{b + 9} = \frac{-6(b + 9)}{b + 9} + \frac{2}{b + 9}$$

Step3: Simplify the terms

Cancel $b + 9$ in the first fraction: $-6 + \frac{2}{b + 9}$

Answer:

$-6 + \frac{2}{b + 9}$