Perform the division of the polynomials by monomials. $\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }$
A) $11 z ^ { 10 } d ^ { 2 } + 6 z ^ { 9 } d ^ { 10 }$
B) $11 z ^ { 10 } d ^ { 2 } + 6 z ^ { 11 } d ^ { 11 }$
C) $11 z ^ { 10 } d ^ { 3 } + 6 z ^ { 12 } d ^ { 10 }$
D) $11 z ^ { 10 } d ^ { 3 } + 6 z ^ { 9 } d ^ { 11 }$

Question

Quizplus · Accepted Answer

To divide the given polynomial by the monomial $6z^2d^4$, divide each term in the numerator by the monomial. For the first term, $66z^{12}d^6 \div 6z^2d^4 = 11z^{10}d^2$. For the second term, $36z^{11}d^{14} \div 6z^2d^4 = 6z^9d^{10}$. Therefore, the correct answer is $11z^{10}d^2 + 6z^9d^{10}$.

Perform the Division of the Polynomials by Monomials 66z12d6+36z11d146z2d4\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }6z2d466z12d6+36z11d14​

Perform the Division of the Polynomials by Monomials $\frac { 66 z ^ { 12 } d ^ { 6 } + 36 z ^ { 11 } d ^ { 14 } } { 6 z ^ { 2 } d ^ { 4 } }$