SOLUTION: Determine a fourth- degree polynomial P(x) with integer coefficients that has Zeros -3i and 4, where 4 has a multiplicity of 2.

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Question 547335: Determine a fourth- degree polynomial P(x) with integer coefficients that has Zeros -3i and 4, where 4 has a multiplicity of 2.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The zeros are 3i, -3i, 4, and 4

f(x) = (x - 3i)(x + 3i)(x - 4)(x - 4)

Multiply that all the way out and get:

f(x) = x4 - 8x3 + 25x2 - 72x + 144  

Edwin