Question 37789
If a quadratic equation has the solutions (roots) x = 4 and x = -8, the factors of the equation are: (x-4)=0 and (x+8)=0

To generate the equation from which these factors are derived, simply multiply the factors.
{{{(x-4)(x+8) = 0}}} Use the FOIL method to multiply.
{{{x^2+8x-4x-32 = 0}}} Simplify.
{{{x^2+4x-32 = 0}}} This is the equation.