Question

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

x^2+3x-40
X squared minus 3X -40
X squared +13 X +40
X squared -13 X +40

Answer 1

So the correct option is X squared -3 X +40

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