Question

What quadratic has roots x=8 and x= -5

Answer 1

x² - 3x - 40 = 0

Explanation:

The roots are x=8 and x= -5

The quadratic equation will be;

(x-8)(x+5) = 0

Therefore;

x² - 8x + 5x -40 = 0

x² - 3x - 40 = 0

Answer 2

The quadratic function x^2 -3x + 40 has roots x=8 and x= -5.

Explanation:

If a polynomial has roots x=8 and x=-5, then we know that the factorized form is:

(x-8)(x+5)

So, to find the polynomial we need to expand the polynomials:

(x-8)(x+5) = (x^2 +5x - 8x + 40) = x^2 -3x + 40