SOLUTION: Find a quadratic function whose roots are -1 - √3 and -1 + √3.

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Question 916149: Find a quadratic function whose roots are -1 - √3 and -1 + √3.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-%28-1-sqrt%283%29%29%29%28x-%28-1%2Bsqrt%283%29%29%29=0
Just needs simplification.

%28x%2B1%2Bsqrt%283%29%29%28x%2B1-sqrt%283%29%29=0
%28%28x%2B1%29%2Bsqrt%283%29%29%28%28x%2B1%29-sqrt%283%29%29=0
That produces the difference of two squares:
%28x%2B1%29%5E2-%28sqrt%283%29%29%5E2=0
%28x%5E2%2B2x%2B1%29-3=0
highlight%28x%5E2%2B2x-2=0%29