A rectangular patio has an area of $4 m^{3}+24 m^{2}+8 m-48$. Find the length if the width is $4 m+8$.
A) $m^{3}+4 m^{2}-6 m$
B) $m^{2}+16 m-6$
C) $m^{2}-4 m+6$
D) $m^{2}+4 m-6$

Question

Quizplus · Accepted Answer

The area of the patio is given by the polynomial $4 m^{3}+24 m^{2}+8 m-48$. To find the length, divide this polynomial by the width $4 m+8$. The result is $m^{2}+4 m-6$.

A Rectangular Patio Has an Area Of 4m3+24m2+8m−484 m^{3}+24 m^{2}+8 m-484m3+24m2+8m−48

A Rectangular Patio Has an Area Of $4 m^{3}+24 m^{2}+8 m-48$