Q. 305 - Intermediate Algebra

Question

Divide each polynomial by the binomial.

$\left(a^2-2a-35\right)÷\left(a+5\right)$

Step-by-Step Solution

Answer

The solution is $\left(a-7\right)$.

Step 1. Given information

Polynomial: $a^2-2a-35$

Binomial: $a+5$

Step 2. Calculation

Using long division -

                    $a-7$

$a+5 \overline{)a^2-2a-35}$

          $a^2+5a$

          $\overline{ -7a-35}$

                  $-7a-35$

                $\overline{ 0}$