Q. 308 - Intermediate Algebra

Question

Divide each polynomial by the binomial.

$\left(q^2+2q+20\right)÷\left(q+6\right)$

Step-by-Step Solution

Answer

The solution is $\left(q-4+\frac{44}{q+6}\right)$.

Step 1. Given information

Polynomial: $q^2+2q+20$

Binomial: $q+6$

Step 2. Calculation

Using long division -

          $q-4+\frac{44}{q+6}$

$q+6 \overline{)q^2+2q+20 }$

           $q^2+6q$

        $\overline{ -4q+20}$

                 $-4q-24$

              $\overline{ 44}$