SOLUTION: Sum of the two zeros of a polynomial of degree 4 is -1 and their product is -2. If the other two zeros are root3 and -root3, find the polynomial.

SOLUTION: Sum of the two zeros of a polynomial of degree 4 is -1 and their product is -2. If the other two zeros are root3 and -root3, find the polynomial.

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Question 980228: Sum of the two zeros of a polynomial of degree 4 is -1 and their product is -2. If the other two zeros are root3 and -root3, find the polynomial.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

If p=1, then q=-2.
These must be the roots.

The polynomial would come in factored form as . You can simplify and put into general form.
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