SOLUTION: 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 havi
Algebra.Com
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(24713) (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 .
Apply FOIL:
And set the polynomial equal to zero:
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