Factor out the greatest common monomial factor of the polynomial below, if one exists. $20 x ^ { 5 } y ^ { 3 } - 14 x y ^ { 2 } + 8 y ^ { 2 }$
A) $2 y ^ { 2 } \left( 10 x ^ { 5 } y - 7 x + 4 \right)$
B) $2 y ^ { 2 } x \left( 10 x ^ { 4 } y - 7 x + 4 \right)$
C) $y ^ { 2 } \left( 20 x ^ { 5 } y - 14 x + 8 \right)$
D) $2 y ^ { 2 } \left( 10 x ^ { 5 } y ^ { 2 } - 7 x y + 4 y \right)$
E)no common factor other than 1

Question

Quizplus · Accepted Answer

The greatest common monomial factor among the terms $20x^5y^3$, $-14xy^2$, and $8y^2$ is $2y^2$, leading to the factorization $2y^2(10x^5y - 7x + 4)$.

Factor Out the Greatest Common Monomial Factor of the Polynomial 20x5y3−14xy2+8y220 x ^ { 5 } y ^ { 3 } - 14 x y ^ { 2 } + 8 y ^ { 2 }20x5y3−14xy2+8y2

Factor Out the Greatest Common Monomial Factor of the Polynomial $20 x ^ { 5 } y ^ { 3 } - 14 x y ^ { 2 } + 8 y ^ { 2 }$