SOLUTION: Find the quadratic equation that has the solutions x=4 and x=-8. Write in the form ____X(squared)+____X+_____=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the quadratic equation that has the solutions x=4 and x=-8. Write in the form ____X(squared)+____X+_____=0      Log On


   

Question 37789: Find the quadratic equation that has the solutions x=4 and x=-8. Write in the form ____X(squared)+____X+_____=0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
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.
%28x-4%29%28x%2B8%29+=+0 Use the FOIL method to multiply.
x%5E2%2B8x-4x-32+=+0 Simplify.
x%5E2%2B4x-32+=+0 This is the equation.