Question

Divide the polynomial by the binomial. (Simplify your answer completely.)

(q² + 5q + 20) / (q + 8)

Answer 1

It's already in its simplest form.

Explanation:

Factorising Quadratics

I'm writing a book/document on this topic but it's not finished. I suspect there is an error in this question because it's practically impossible to factorise it into integers.

The quadratic polynomial in the numerator has imaginary roots because 5 squared is less than 20 times 4.

ax² + bx + c;

if ( b² < 4ac ) { 'solution is imaginary' }

The quadratic equation will explain the above.