Factor by grouping.
-$$3 x ^ { 2 } + 8 x + 24 x + 64$$
A) $( x - 8 ) ( 3 x - 8 )$
B) $( 3 x + 8 ) ( 8 x + 3 )$
C) $( 3 x + 8 ) ( 3 x + 8 )$
D) $( x + 8 ) ( 3 x + 8 )$

Question

Quizplus · Accepted Answer

We can group the first two terms and the last two terms together:
$$(3x^2+8x)+(24x+64)$$
Then we can factor out the GCF from each group:
$$3x(x+8)+8(x+8)$$
Notice that both terms have a common factor of $(x+8)$, so we can factor that out:
$$(x+8)(3x+8)$$
Therefore, the correct answer is choice D.

Factor by Grouping 3x2+8x+24x+643 x ^ { 2 } + 8 x + 24 x + 643x2+8x+24x+64

Factor by Grouping $3 x ^ { 2 } + 8 x + 24 x + 64$