SOLUTION: find simplest polynomial with roots -4, 7 and sqrt3

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Question 1101256: find simplest polynomial with roots
-4, 7 and sqrt3
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simplest?

Maybe degree 4.

%28x%2B4%29%28x-7%29%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29
-
%28x%5E2-3x-28%29%28x%5E2-3%29
Continue the multiplication if you want.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


If the problem doesn't specify that the polynomial has rational coefficients, then the simplest polynomial with those roots is degree 3:

p%28x%29+=+%28x%2B4%29%28x-7%29%28x-sqrt%283%29%29