SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3, and zeros 0 and i.

SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3, and zeros 0 and i.

Algebra.Com

Question 1175848: Find a polynomial with integer coefficients that satisfies the given conditions.
Q has degree 3, and zeros 0 and i.

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
If a polynomial has a root of the form a+bi, then it must also have a root of the form a-bi. Our polynomial has i as a root, so it must have -i as another root.

(x)(x + i)(x - i)
(x)(x^2 + 1)

<= answer
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