Question 133001: Write a quadratic equation in the variable "x" having the given numbers as solutions. Type the equation in standard, ax^2 + bx + c = 0.
Solution: 8, only solution
I am having trouble backing into the equation. Can someone help explain to me.
Thank you. Answer by solver91311(16897) (Show Source):
You can put this solution on YOUR website! A quadratic equation has as a root if and only if is a factor of the polynomial . Since the Fundamental Theorem of Algebra tells us that a 2nd degree equation must have 2 roots, the root 8 must have a multiplicity of 2, in other words there are two roots and they are both 8. Therefore, the factors of the polynomial must be .