Perform the division of the polynomials by monomials. $\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }$
A) $4 z ^ { 13 } + 7 z ^ { 8 }$
B) $4 z ^ { 5 } + 7 z ^ { 8 }$
C) $4 z ^ { 5 } + 168 z ^ { 8 }$

Question

Quizplus · Accepted Answer

When dividing a polynomial by a monomial, we simply divide each term of the polynomial by the monomial. In this case, we have:

$$\frac{24z^9+42z^{12}}{6z^4} = \frac{24z^9}{6z^4} + \frac{42z^{12}}{6z^4} = 4z^{5} + 7z^{8}$$

Therefore, the correct choice is B.

Perform the Division of the Polynomials by Monomials 24z9+42z126z4\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }6z424z9+42z12​

Perform the Division of the Polynomials by Monomials $\frac { 24 z ^ { 9 } + 42 z ^ { 12 } } { 6 z ^ { 4 } }$