SOLUTION: Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. P has degree 3, and zeros 1 and 1 + 4i.

SOLUTION: Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. P has degree 3, and zeros 1 and 1 + 4i.

Algebra.Com

Question 284664: Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
P has degree 3, and zeros 1 and 1 + 4i.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
if 1+4i is a zero then so is 1-4i
(x-1)*(x-(1+4i))*(x-(1-4i))
x^3-3x^2+19x-17
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