Completely factor the polynomial or state that the polynomial is prime.
-$3 x ^ { 2 } - 108$
A) $3 ( x + 6 ) ( x - 6 )$
B) $3 ( x - 6 ) ^ { 2 }$
C) prime
D) $3 ( x + 6 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The polynomial $3x^2 - 108$ can be factored by first factoring out the greatest common factor (GCF), which is 3, resulting in $3(x^2 - 36)$. The expression inside the parentheses, $x^2 - 36$, is a difference of squares and can be further factored into $(x + 6)(x - 6)$. Therefore, the completely factored form is $3(x + 6)(x - 6)$.

Completely Factor the Polynomial or State That the Polynomial Is 3x2−1083 x ^ { 2 } - 1083x2−108

Completely Factor the Polynomial or State That the Polynomial Is $3 x ^ { 2 } - 108$