Factor out the GCF from the polynomial.
-$36 x ^ { 8 } y 8 + 36 x ^ { 4 } y ^ { 6 } + 60 x ^ { 2 } y ^ { 2 }$
A) $12 x ^ { 2 } y ^ { 2 } \left( 3 x ^ { 6 } y ^ { 6 } + 3 x ^ { 2 } y ^ { 4 } + 5 \right)$
B) $12 \left( 3 x ^ { 8 } y ^ { 8 } + 3 x ^ { 4 } y ^ { 6 } + 5 x ^ { 2 } y ^ { 2 } \right)$
C) $12 x ^ { 2 } \left( 3 x ^ { 6 } y ^ { 8 } + 3 x ^ { 2 } y ^ { 6 } + 5 y ^ { 2 } \right)$
D) no common factor

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the coefficients 36, 36, and 60 is 12. The smallest power of $x$ in all terms is $x^2$, and the smallest power of $y$ is $y^2$. Therefore, the GCF is $12x^2y^2$, making option A correct.

Factor Out the GCF from the Polynomial 36x8y8+36x4y6+60x2y236 x ^ { 8 } y 8 + 36 x ^ { 4 } y ^ { 6 } + 60 x ^ { 2 } y ^ { 2 }36x8y8+36x4y6+60x2y2

Factor Out the GCF from the Polynomial $36 x ^ { 8 } y 8 + 36 x ^ { 4 } y ^ { 6 } + 60 x ^ { 2 } y ^ { 2 }$