Perform the division. $\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )$
A) 3 $-$ x
B) 9 x $-$ 3
C) x + 3
D) x $-$ 3
E) 9 x + 3

Question

Quizplus · Accepted Answer

We can use long division or synthetic division to perform the division. Either way, we get:

\begin{array}{c|ccccc}
\multicolumn{2}{r}{x} & -3 & +0 & +3 \
\cline{2-6}
x-9 & x^2 & -6x & -27 & & \
\multicolumn{2}{r}{x^2} & -9x \
\cline{2-3}
\multicolumn{2}{r}{0} & 3x & -27 \
\multicolumn{2}{r}{} & 3x & -27 \
\cline{3-4}
\multicolumn{2}{r}{} & 0 & 0 \
\end{array}

Therefore, the quotient is $x+3$.

Perform the Division (x2−6x−27)÷(x−9)\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )(x2−6x−27)÷(x−9)

Perform the Division $\left( x ^ { 2 } - 6 x - 27 \right) \div ( x - 9 )$