Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-$x ^ { 2 } + 36$
A) $( x + 6 ) ( x - 6 )$
B) $( x - 6 ) ^ { 2 }$
C) $( x + 6 ) ^ { 2 }$
D) prime

Question

Quizplus · Accepted Answer

The polynomial $x^2 + 36$ is a sum of squares, which cannot be factored over the real numbers. It does not fit the pattern of a difference of squares, $(a^2 - b^2) = (a + b)(a - b)$, hence it is considered prime in the context of real number factorization.

Factor the Polynomial Completely x2+36x ^ { 2 } + 36x2+36

Factor the Polynomial Completely $x ^ { 2 } + 36$