Q. 306 - Intermediate Algebra

Question

Divide each polynomial by the binomial.

$\left(6m^2-19m-20\right)÷\left(m-4\right)$

Step-by-Step Solution

Answer

The solution is $\left(6m+5\right)$.

Step 1. Given information

Polynomial: $6m^2-19m-20$

Binomial: $m-4$

Step 2. Calculation

Using long division -

                        $6m+5$

$m-4 \overline{)6m^2-19m-20}$

            $6m^2-24m$

           $\overline{ 5m-20}$

                         $5m-20$

                       $\overline{ 0}$