SOLUTION: Hi! Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. P has degree 2, and zeros 1 + i√6 and 1 - i√

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi! Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions. P has degree 2, and zeros 1 + i√6 and 1 - i√      Log On


   

Question 199848: Hi!
Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
P has degree 2, and zeros 1 + i√6 and 1 - i√6.
thanks for the homework help!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if "r" is a root (zero) then x-r is a factor

FOILing (x - (1 + i√6)) (x - (1 - i√6)) ___ x^2 - 2x + 7