Factor the polynomial completely. $5 z ^ { 5 } b ^ { 8 } + 11 z ^ { 11 } b ^ { 3 }$
A) $55 z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } + 11 z ^ { 6 } \right)$
B) $z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } - 11 z ^ { 11 } \right)$
C) $z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } + 11 z ^ { 6 } \right)$
D) $z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } - 11 z ^ { 6 } \right)$
E) $z ^ { 5 } b ^ { 3 } ( 5 b + 11 z )$

Question

Quizplus · Accepted Answer

The common factor in the two terms is $z^5b^3$, so we can factor this out: $$5z^5b^8+11z^{11}b^3=z^5b^3\cdot(5b^5+11z^6)$$ Therefore, the correct choice is $\boxed{	extbf{(C)}}$.

Factor the Polynomial Completely 5z5b8+11z11b35 z ^ { 5 } b ^ { 8 } + 11 z ^ { 11 } b ^ { 3 }5z5b8+11z11b3

Factor the Polynomial Completely $5 z ^ { 5 } b ^ { 8 } + 11 z ^ { 11 } b ^ { 3 }$