Factor out the GCF from the polynomial.
-$60 x ^ { 9 } y ^ { 8 } + 72 x ^ { 6 } y ^ { 5 } - 60 x ^ { 2 } y ^ { 3 }$
A) $12 x ^ { 2 } y ^ { 3 } \left( 5 x ^ { 7 } y ^ { 5 } + 6 x ^ { 4 } y ^ { 2 } - 5 \right)$
B) $12 \left( 5 x ^ { 9 } y ^ { 8 } + 6 x ^ { 6 } y ^ { 5 } - 5 x ^ { 2 } y ^ { 3 } \right)$
C) $12 x ^ { 2 } \left( 5 x ^ { 7 } y ^ { 8 } + 6 x ^ { 4 } y ^ { 5 } - 5 y ^ { 3 } \right)$
D) cannot be factored

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the coefficients 60, 72, and -60 is 12. The smallest powers of $x$ and $y$ in the terms are $x^2$ and $y^3$, respectively. Factoring out $12x^2y^3$ gives the expression in choice A.

Factor Out the GCF from the Polynomial 60x9y8+72x6y5−60x2y360 x ^ { 9 } y ^ { 8 } + 72 x ^ { 6 } y ^ { 5 } - 60 x ^ { 2 } y ^ { 3 }60x9y8+72x6y5−60x2y3

Factor Out the GCF from the Polynomial $60 x ^ { 9 } y ^ { 8 } + 72 x ^ { 6 } y ^ { 5 } - 60 x ^ { 2 } y ^ { 3 }$