Question 66344
Write a polynomial function with rational coefficients in standard form with the given zeroes.
note i = imaginary
x = square root of 2, -i
work so far:
(x-square root of 2)(x+i)
xsquared + ix - x(square root of 2) - i(square root of 2)
FACTORS ARE 
1.SQRT(2)
AND ITS CONJUGATE 
2.-SQRT(2)
SINCE THE COEFFICIENTS OF POLYNOMIAL ARE REAL.
3.-I
AND ITS CONJUGATE 
4.+I 
SINCE THE COEFFICIENTS OF POLYNOMIAL ARE REAL.SO EQN.IS
P(X)=0=[X-SQRT(2)][X+SQRT(2)][X+I][X-I]=[X^2-2][X^2+1]=X^4-X^2-2
HENCE 
X^4-X^2-2=0 IS THE POLYNOMIAL