Factor by grouping.
-$$x ^ { 3 } - 8 x ^ { 2 } - 10 x + 80$$
A) $( x - 8 ) \left( x ^ { 2 } - 10 \right)$
B) $( x - 8 ) \left( x ^ { 2 } + 10 x \right)$
C) $( x + 8 ) \left( x ^ { 2 } + 10 \right)$
D) $( x + 8 ) \left( x ^ { 3 } - 10 \right)$

Question

Quizplus · Accepted Answer

The given expression can be factored by grouping as follows: $x^3 - 8x^2 - 10x + 80 = (x^3 - 8x^2) - (10x - 80) = x^2(x - 8) - 10(x - 8) = (x - 8)(x^2 - 10)$, which matches choice A.

Factor by Grouping x3−8x2−10x+80x ^ { 3 } - 8 x ^ { 2 } - 10 x + 80x3−8x2−10x+80

Factor by Grouping $x ^ { 3 } - 8 x ^ { 2 } - 10 x + 80$