SOLUTION: find an nth degree polynomial function with real coefficients satisfying the given conditions n=3 f(-1)=20 3 and 2i are zeros

Question 1098425: find an nth degree polynomial function with real coefficients satisfying the given conditions n=3 f(-1)=20 3 and 2i are zeros
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If the coefficients are real and one root is 2i, then another root is -2i.

Since the polynomial is degree 3, we know all the roots.

The polynomial factors corresponding to the roots 3, 2i, and -2i are and .

The polynomial is then

The constant a is determined by knowing that f(-1)=20:

The polynomial is

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