Use synthetic division to perform the division.
-$$\frac { x ^ { 5 } - 3 x ^ { 4 } - 21 x ^ { 3 } + 20 x ^ { 2 } - 15 x + 21 } { x - 6 }$$
A) $x ^ { 4 } + 3 x ^ { 3 } - 3 x ^ { 2 } + 2 x - 3 + \frac { 3 } { x - 6 }$
B) $x ^ { 4 } + 3 x ^ { 3 } - 3 x ^ { 2 } + 2 x + 3 + \frac { 5 } { x - 6 }$
C) $x ^ { 3 } + 3 x ^ { 2 } - 3 x + 2 + \frac { 3 } { x - 6 }$
D) $x ^ { 4 } + 3 x ^ { 3 } - 3 x ^ { 2 } + 2 x + 3$

Question

Quizplus · Accepted Answer

The remainder is 3 when $x - 6$ is divided into $x ^ { 5 } - 3 x ^ { 4 } - 21 x ^ { 3 } + 20 x ^ { 2 } - 15 x + 21$.

Use Synthetic Division to Perform the Division x5−3x4−21x3+20x2−15x+21x−6\frac { x ^ { 5 } - 3 x ^ { 4 } - 21 x ^ { 3 } + 20 x ^ { 2 } - 15 x + 21 } { x - 6 }x−6x5−3x4−21x3+20x2−15x+21​

Use Synthetic Division to Perform the Division $\frac { x ^ { 5 } - 3 x ^ { 4 } - 21 x ^ { 3 } + 20 x ^ { 2 } - 15 x + 21 } { x - 6 }$