Divide using synthetic division.
-$\frac { - 4 x ^ { 3 } - 8 x ^ { 2 } + 18 x + 18 } { x + 3 }$
A) $- 4 x ^ { 2 } + 4 x + 6$
B) $4 x ^ { 2 } - 3 x + 6$
C)$ - \frac { 4 } { 3 } x ^ { 2 } - \frac { 8 } { 3 } x + 6$
D) $- 4 x ^ { 2 } x - \frac { 8 } { 3 } + 6$

Question

Quizplus · Accepted Answer

To perform synthetic division with the divisor $x + 3$, we use -3 as the synthetic divisor. The coefficients of the dividend $-4x^3 - 8x^2 + 18x + 18$ are -4, -8, 18, and 18. The synthetic division process yields a quotient of $-4x^2 + 4x + 6$, making option A correct.

Divide Using Synthetic Division −4x3−8x2+18x+18x+3\frac { - 4 x ^ { 3 } - 8 x ^ { 2 } + 18 x + 18 } { x + 3 }x+3−4x3−8x2+18x+18​

Divide Using Synthetic Division $\frac { - 4 x ^ { 3 } - 8 x ^ { 2 } + 18 x + 18 } { x + 3 }$