Factor.
-$24 x ^ { 2 } - 104 x - 80$
A) $( 24 x + 16 ) ( x - 5 )$
B) $8 ( 3 x + 2 ) ( x - 5 )$
C) $( 3 x + 2 ) ( 8 x - 40 )$
D) $8 ( 3 x - 2 ) ( x + 5 )$

Question

Quizplus · Accepted Answer

The correct factorization is found by first factoring out the greatest common factor (GCF), which is 8, resulting in $8(3x^2 - 13x - 10)$. Then, by finding factors of -30 (the product of 3 and -10) that add up to -13 (the middle term), which are -15 and +2, the quadratic can be factored as $8(3x + 2)(x - 5)$.

Factor - 24x2−104x−8024 x ^ { 2 } - 104 x - 8024x2−104x−80

Factor
- $24 x ^ { 2 } - 104 x - 80$