Choose the one alternative that best completes the statement or answers the question.
Use long division to divide.
-$\left( - 150 x ^ { 2 } + 15 x ^ { 4 } + 135 \right) \div ( 3 x + 9 )$
A) $5 x ^ { 3 } - 15 x ^ { 2 } - 5 x + 15$
B) $5 x ^ { 3 } - 65 x + \frac { 240 } { x + 3 }$
C) $5 x ^ { 3 } + 15 x ^ { 2 } - 5 x - 15$
D) $155 x ^ { 3 } - 50 x - \frac { 420 } { x + 3 }$

Question

Quizplus · Accepted Answer

To divide $(-150x^2 + 15x^4 + 135) \div (3x + 9)$, first simplify the divisor to $x + 3$ by factoring out 3. Then, use polynomial long division. The quotient is $5x^3 - 15x^2 - 5x + 15$, matching option A.

Choose the One Alternative That Best Completes the Statement or Answers