Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
-$5 x ^ { 2 } - 33 x - 56$
A) $( x - 7 ) ( x - 8 )$
B) $( 5 x + 7 ) ( x - 8 )$
C) $( 7 x + 5 ) ( x - 8 )$
D) $( x + 5 ) ( x - 8 )$

Question

Quizplus · Accepted Answer

The correct factorization of $5x^2 - 33x - 56$ is $(5x + 7)(x - 8)$. This is because when multiplied out, the product of $5x$ and $-8$ combined with the product of $7$ and $x$ gives $-40x + 7x = -33x$, and the constant terms multiply to give $-56$.

Factor Completely 5x2−33x−565 x ^ { 2 } - 33 x - 565x2−33x−56

Factor Completely $5 x ^ { 2 } - 33 x - 56$