Perform the division of the polynomials by monomials. $\frac { - 44 z ^ { 6 } - 110 z ^ { 11 } } { - 11 z ^ { 3 } }$
A) $- 4 z ^ { 3 } + 10 z ^ { 11 }$
B) $4 z ^ { 3 } + 10 z ^ { 11 }$
C) $4 z ^ { 4 } + 10 z ^ { 8 }$
D) $4 z ^ { 3 } + 10 z ^ { 8 }$

Question

Quizplus · Accepted Answer

To divide a polynomial by a monomial, we simply divide each term of the polynomial by the monomial. 
So, in this case, we have: 
$$\frac{-44z^6-110z^{11}}{-11z^3}=\frac{44z^6}{11z^3}+\frac{110z^{11}}{11z^3}=4z^3+10z^8$$
Therefore, the correct choice is D.

Perform the Division of the Polynomials by Monomials −44z6−110z11−11z3\frac { - 44 z ^ { 6 } - 110 z ^ { 11 } } { - 11 z ^ { 3 } }−11z3−44z6−110z11​

Perform the Division of the Polynomials by Monomials $\frac { - 44 z ^ { 6 } - 110 z ^ { 11 } } { - 11 z ^ { 3 } }$