Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-$200 - 2 x ^ { 2 }$
A) $2 ( 10 + x ) ( 10 - x )$
B) $2 ( x + 10 ) ( x - 10 )$
C) prime
D) $2 ( x - 10 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The polynomial $200 - 2x^2$ can be factored by first factoring out the greatest common factor, which is 2, resulting in $2(100 - x^2)$. Recognizing $100 - x^2$ as a difference of squares, it can be further factored into $2(10^2 - x^2) = 2(10 + x)(10 - x)$.

Factor the Polynomial Completely 200−2x2200 - 2 x ^ { 2 }200−2x2

Factor the Polynomial Completely $200 - 2 x ^ { 2 }$