Choose the one alternative that best completes the statement or answers the question.
Divide
-$\frac{x^{2}+15 x+51}{x+6}$

A) $x+10$
B) $x+9-\frac{3}{x+6}$
C) $x+9+\frac{3}{x+6}$
D) $\frac{x+9}{x+6}$

Question

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\frac{x^{2}+15 x+51}{x+6}$

A) $x+10$
B) $x+9-\frac{3}{x+6}$
C) $x+9+\frac{3}{x+6}$
D) $\frac{x+9}{x+6}$

Quizplus · Accepted Answer

To divide $\frac{x^{2}+15x+51}{x+6}$, we perform polynomial long division or synthetic division. The division gives a quotient of $x + 9$ with a remainder of 3. Therefore, the complete division is $x + 9 + \frac{3}{x+6}$, which matches option B.

Choose the One Alternative That Best Completes the Statement or Answers