SOLUTION: Write a quadratic equation having solutions square root 3 and -4 square root 3.

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Question 136723: Write a quadratic equation having solutions square root 3 and -4 square root 3.
Answer by solver91311(24713) About Me  (Show Source):
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A quadratic equation of the form ax%5E2%2Bbx%2Bc=0 has a root a if and only if x-z is a factor of the polynomial ax%5E2%2Bbx%2Bc.

Your roots are sqrt%283%29 and -4sqrt%283%29, so the factors of the polynomial must be x-sqrt%283%29 and x-%28-4sqrt%283%29%29=x%2B4sqrt%283%29. Multiply these two factors together using FOIL and set the resultant polynomial equal to zero.