Q. 307 - Intermediate Algebra

Question

Divide each polynomial by the binomial.

$\left(4x^2-17x-15\right)÷\left(x-5\right)$

Step-by-Step Solution

Answer

The solution is $\left(4x+3\right)$.

Step 1. Given information

Polynomial: $4x^2-17x-15$

Binomial: $x-5$

Step 2. Calculation

Using long division -

                      $4x+3$

$x-5 \overline{)4x^2-17x-15}$

          $4x^2-20x$

         $\overline{ 3x-15}$

                      $3x-15$

               $\overline{ 0}$