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 ->  Polynomials-and-rational-expressions -> 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.      Log On


   

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) About Me  (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