Perform the division of the polynomials by monomials. $\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }$
A) $3 p ^ { 13 } + 9 p ^ { 12 } + 13 p ^ { 13 }$
B) $3 p ^ { 11 } + 9 p ^ { 12 } + 13 p ^ { 15 }$
C) $3 p ^ { 11 } + 9 p ^ { 14 } + 13 p ^ { 14 }$
D) $3 p ^ { 11 } + 9 p ^ { 12 } + 13 p ^ { 13 }$

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:
$$\frac{24p^{14}+72p^{15}+104p^{16}}{8p^3}=\frac{24}{8}p^{14-3}+\frac{72}{8}p^{15-3}+\frac{104}{8}p^{16-3}=3p^{11}+9p^{12}+13p^{13}$$
Therefore, the answer is choice D.

Perform the Division of the Polynomials by Monomials 24p14+72p15+104p168p3\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }8p324p14+72p15+104p16​

Perform the Division of the Polynomials by Monomials $\frac { 24 p ^ { 14 } + 72 p ^ { 15 } + 104 p ^ { 16 } } { 8 p ^ { 3 } }$