Factor the expression completely. $4 x ^ { 3 } + 4 x ^ { 2 } - 7 x - 7$
A) $\quad ( 1 - x ) \left( 4 x ^ { 2 } - 7 \right)$
B) $\quad ( x - 1 ) \left( 4 x ^ { 2 } + 7 \right)$
C) $\quad ( x + 1 ) \left( 7 - 4 x ^ { 2 } \right)$
D) $\quad ( x + 1 ) \left( 4 x ^ { 2 } - 7 \right)$

Question

Quizplus · Accepted Answer

We can factor the expression by grouping:
$$4 x ^ { 3 } + 4 x ^ { 2 } - 7 x - 7 = 4x^2(x + 1) - 7(x + 1) = (4x^2 - 7)(x+1)$$
Therefore, the correct option is D, which matches the factored expression we obtained.

Factor the Expression Completely 4x3+4x2−7x−74 x ^ { 3 } + 4 x ^ { 2 } - 7 x - 74x3+4x2−7x−7

Factor the Expression Completely $4 x ^ { 3 } + 4 x ^ { 2 } - 7 x - 7$