Q. 309 - Intermediate Algebra

Question

Divide each polynomial by the binomial.

$\left(p^2+11p+16\right)÷\left(p+8\right)$

Step-by-Step Solution

Answer

The solution is $\left(p+3-\frac{8}{p+8}\right)$.

Step 1. Given information

Polynomial: $p^2+11p+16$

Binomial: $p+8$

Step 2. Calculation

Using long division -

           $p+3-\frac{8}{p+8}$

$p+8 \overline{)p^2+11p+16 }$

           $p^2+8p$

          $\overline{ 3p+16}$

                     $3p+24$

                  $\overline{ -8}$