Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
-$$36 x ^ { 5 } y + 28 x y ^ { 4 }$$
A) $4 y \left( 9 x ^ { 5 } + 7 x y ^ { 3 } \right)$
B) $4 x \left( 9 x ^ { 4 } y + 7 y ^ { 4 } \right)$
C) $x y \left( 36 x ^ { 4 } + 28 y ^ { 3 } \right)$
D) $4 x y \left( 9 x ^ { 4 } + 7 y ^ { 3 } \right)$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the coefficients 36 and 28 is 4, and both terms have at least one $x$ and one $y$ in common, making the GCF $4xy$. Factoring $4xy$ out of each term gives $4xy(9x^4 + 7y^3)$.

Factor the Greatest Common Factor from the Polynomial 36x5y+28xy436 x ^ { 5 } y + 28 x y ^ { 4 }36x5y+28xy4

Factor the Greatest Common Factor from the Polynomial $36 x ^ { 5 } y + 28 x y ^ { 4 }$