Factor by grouping.
-$$x ^ { 3 } - 6 x ^ { 2 } + 4 x - 24$$
A) $( x + 6 ) \left( x ^ { 2 } + 4 \right)$
B) $( x - 6 ) \left( x ^ { 2 } + 6 \right)$
C) $( x - 6 ) \left( x ^ { 2 } + 4 \right)$
D) $( x - 24 ) \left( x ^ { 2 } - 6 x + 4 \right)$

Question

Quizplus · Accepted Answer

The given expression can be factored by grouping as follows: $x^3 - 6x^2 + 4x - 24 = x^2(x - 6) + 4(x - 6) = (x^2 + 4)(x - 6)$, which matches option C.

Factor by Grouping x3−6x2+4x−24x ^ { 3 } - 6 x ^ { 2 } + 4 x - 24x3−6x2+4x−24

Factor by Grouping $x ^ { 3 } - 6 x ^ { 2 } + 4 x - 24$