Question

Divide each polynomial by the binomial.

$\left(m^3+1000\right)÷\left(m+10\right)$

Short answer

The solution is$\left(m^2-10m+100\right)$.

Step-by-step solution

Step 1. Given information 

Polynomial:$m^3+1000$

Binomial:$m+10$

Step 2. Calculation 

Using long division -

$m^2-10m+100$

role="math" localid="1645988550938" $m+10\overline{)m^3+1000}$

$m^3+10m^2$

role="math" localid="1645988676275" $\overline{-10m^2+1000}$

role="math" localid="1645988696546" $-10m^2-100m$

role="math" localid="1645988755324" $\overline{100m+1000}$

$100m+1000$

$\overline{0}$