Choose the one alternative that best completes the statement or answers the question.
Use long division to divide.
-$\frac { 12 x ^ { 4 } - 6 x ^ { 3 } + 25 x ^ { 2 } - 11 x - 6 } { 4 x ^ { 2 } - 2 x - 1 }$
A) $3 x ^ { 2 } + 10 x + 1$
B) $3 x ^ { 2 } + 7 + \frac { 3 x + 1 } { 4 x ^ { 2 } - 2 x - 1 }$
C) $3 x ^ { 2 } + 3 x + 8$
D) $3 x ^ { 2 } + 7 x + \frac { 3 x + 1 } { 4 x ^ { 2 } - 2 x - 1 }$

Question

Quizplus · Accepted Answer

When dividing $12x^4 - 6x^3 + 25x^2 - 11x - 6$ by $4x^2 - 2x - 1$, the quotient is $3x^2 + 7$ with a remainder of $3x + 1$. Therefore, the complete expression is $3x^2 + 7 + \frac{3x + 1}{4x^2 - 2x - 1}$.

Choose the One Alternative That Best Completes the Statement or Answers