Use synthetic division to perform the division. $$\frac { 3 x ^ { 5 } - 243 x } { x - 3 }$$
A) $\quad 3 x ^ { 4 } + 9 x ^ { 3 } + 27 x ^ { 2 } + 81 x$
B) none of these
C) $\quad 3 x ^ { 4 } + x ^ { 3 } - 9 x ^ { 2 } + x + 81$
D) $\quad 3 x ^ { 4 } - x ^ { 3 } + 9 x ^ { 2 } - 27 x + 81$
E) $\quad 3 x ^ { 4 } + 81$

Question

Quizplus · Accepted Answer

Synthetic division of $3x^5 - 243x$ by $x - 3$ results in $3x^4 + 9x^3 + 27x^2 + 81x$, as each term increases by a factor of 3.

Use Synthetic Division to Perform the Division 3x5−243xx−3\frac { 3 x ^ { 5 } - 243 x } { x - 3 }x−33x5−243x​

Use Synthetic Division to Perform the Division $\frac { 3 x ^ { 5 } - 243 x } { x - 3 }$