Question

divide. if there is a remainder, include it as a simplified fraction.\\((9m^{3}-24m^{2}+21)div3m^{2}\\)

Explanation:

Step1: Split the polynomial division

$\frac{9m^3 - 24m^2 + 21}{3m^2} = \frac{9m^3}{3m^2} - \frac{24m^2}{3m^2} + \frac{21}{3m^2}$

Step2: Simplify each term

$\frac{9m^3}{3m^2}=3m$, $\frac{24m^2}{3m^2}=8$, $\frac{21}{3m^2}=\frac{7}{m^2}$

Step3: Combine simplified terms

$3m - 8 + \frac{7}{m^2}$

Answer:

$3m - 8 + \frac{7}{m^2}$