Factor out the greatest common factor. Simplify the factors, if possible.
-$$x ^ { 3 } - 2 x ^ { 2 } + 9 x - 18$$
A) $\left( x ^ { 2 } + 9 \right) ( x - 2 )$
B) $( x + 9 ) \left( x ^ { 2 } - 2 x \right) ( x - 2 )$
C) $\left( x ^ { 2 } - 2 x \right) + 9 ( x - 2 )$
D) $x \left( x ^ { 2 } - 2 x + 9 \right) - 18$

Question

Quizplus · Accepted Answer

The greatest common factor of the terms $x ^ { 3 } - 2 x ^ { 2 } + 9 x - 18$ is $x - 2$. Factoring out this GCF gives $(x - 2)(x ^ { 2 } + 9)$.

Factor Out the Greatest Common Factor x3−2x2+9x−18x ^ { 3 } - 2 x ^ { 2 } + 9 x - 18x3−2x2+9x−18

Factor Out the Greatest Common Factor $x ^ { 3 } - 2 x ^ { 2 } + 9 x - 18$