Use synthetic division to divide. $\frac { x ^ { 3 } + 3 x ^ { 2 } - 9 } { x + 4 }$
A) $x ^ { 2 } - x - 5 - \frac { 5 } { x + 4 }$
B) $x ^ { 2 } + x + 2 - \frac { 15 } { x + 4 }$
C) $x ^ { 2 } + 7 x + 28 + \frac { 121 } { x + 4 }$
D) $x ^ { 2 } - x + 6 - \frac { 10 } { x + 4 }$
E) $x ^ { 2 } - x + 4 - \frac { 25 } { x + 4 }$

Question

Quizplus · Accepted Answer

We use synthetic division as follows:

\begin{array}{c|rrr}
-4 & 1 & 3 & -9 \
\hline
& & -4 & 4 \
\hline
1 & -1 & -1 & -5 \
\end{array}

The quotient is $x^2-x+4$ and the remainder is $-25/(x+4)$. Therefore, the answer is choice E.

Use Synthetic Division to Divide x3+3x2−9x+4\frac { x ^ { 3 } + 3 x ^ { 2 } - 9 } { x + 4 }x+4x3+3x2−9​

Use Synthetic Division to Divide $\frac { x ^ { 3 } + 3 x ^ { 2 } - 9 } { x + 4 }$