Factor using the ac-method.
-$$x ^ { 7 } - 5 x ^ { 6 } + 6 x ^ { 5 }$$
A) $x ^ { 5 } ( x + 3 ) ( x - 2 )$
B) $x ^ { 5 } ( x - 3 ) ( x + 2 )$
C) $x ^ { 5 } ( x - 3 ) ( x - 2 )$
D) $x ^ { - 3 } \left( x ^ { 2 } - 5 x + 6 \right)$

Question

Quizplus · Accepted Answer

We can use the ac-method as follows:
$$x^ 7 - 5x^6 + 6x^5 = x^5(x^2-5x+6)=x^5(x-2)(x-3)$$
Therefore, the answer is choice C.

Factor Using the Ac-Method x7−5x6+6x5x ^ { 7 } - 5 x ^ { 6 } + 6 x ^ { 5 }x7−5x6+6x5

Factor Using the Ac-Method $x ^ { 7 } - 5 x ^ { 6 } + 6 x ^ { 5 }$