Completely factor the polynomial or state that the polynomial is prime.
-$$2 x ^ { 2 } - 12 x + 16$$
A) $2 ( x - 8 ) ( x + 1 )$
B) prime
C) $2 ( x - 4 ) ( x - 2 )$
D) $( x - 4 ) ( 2 x - 4 )$

Question

Quizplus · Accepted Answer

The polynomial $2x^2 - 12x + 16$ can be factored by first factoring out the greatest common factor, which is 2, resulting in $2(x^2 - 6x + 8)$. Then, the quadratic expression inside the parentheses can be factored into $(x - 4)(x - 2)$, leading to the complete factorization $2(x - 4)(x - 2)$.

Completely Factor the Polynomial or State That the Polynomial Is 2x2−12x+162 x ^ { 2 } - 12 x + 162x2−12x+16

Completely Factor the Polynomial or State That the Polynomial Is $2 x ^ { 2 } - 12 x + 16$