SOLUTION: write a polynomial function of degree 3 with the given number as zeros. -3, 2-i, 2+i

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Question 733628: write a polynomial function of degree 3 with the given number as zeros. -3, 2-i, 2+i
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Very simply, you want a function composed on three binomial factors in each each of the given roots corresponds to a binomial factor.

Root of -3, (x+3).
Root of 2-i, (x-(2-i)).
Root of 2+i, (x-(2+i)).

Of course, you may want your function in general form completely multiplied, meaning the product of the three factors. Can you do this?
[Big hint: %28x%2B3%29%2A%28x-%282-i%29%29%2A%28x-%282%2Bi%29%29 ].