Question

What is the remainder when the polynomial 7x^2+15x-12 is divided by x+3?

Answer 1

In my opinion the easiest way to do this is using synthetic division:

Please see attached work below:

Now, the remainder value is 6

Answer 2

remainder = 6

dividing 7x² + 15x - 12 by (x + 3) gives

7x - 6 + $\frac{6}{x+3}$