Perform the division. $\frac { 12 x ^ { 3 } + 11 x ^ { 2 } - 11 x - 2 } { 4 x - 3 }$
A) $3 x ^ { 2 } + 5 x + 1 + \frac { 1 } { 4 x - 3 }$
B) $3 x ^ { 2 } + 5 x + 1$
C) $3 x ^ { 2 } + 5 x - 1 + \frac { 1 } { 4 x - 3 }$
D) $3 x ^ { 2 } - 5 x + 1 + \frac { 1 } { 4 x - 3 }$
E) $3 x ^ { 2 } + 5 x + 1 - \frac { 1 } { 4 x - 3 }$

Question

Quizplus · Accepted Answer

Dividing $12x^3 + 11x^2 - 11x - 2$ by $4x - 3$ using polynomial long division or synthetic division gives a quotient of $3x^2 + 5x + 1$ and a remainder of $1$. Therefore, the correct expression is $3x^2 + 5x + 1 + \frac{1}{4x - 3}$.

Perform the Division 12x3+11x2−11x−24x−3\frac { 12 x ^ { 3 } + 11 x ^ { 2 } - 11 x - 2 } { 4 x - 3 }4x−312x3+11x2−11x−2​

Perform the Division $\frac { 12 x ^ { 3 } + 11 x ^ { 2 } - 11 x - 2 } { 4 x - 3 }$