SOLUTION: find a fourth-degree polynomial equation with integer coefficients that has the given numbers as roots. 2i and 4-i

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Question 943119: find a fourth-degree polynomial equation with integer coefficients that has the given numbers as roots.
2i and 4-i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Integer coefficients means complex roots come in complex conjugate pairs.
So,
y=a%28x-2i%29%28x%2B2i%29%28x-%284-i%29%29%28x-%284%2Bi%29%29
y=a%28x%5E2%2B4%29%28x%5E2-8x%2B17%29
y=a%28x%5E4-8x%5E3%2B21x%5E2-32x%2B68%29