SOLUTION: Find the polynomial equation with rational coefficients whose root is i-square root of 5

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Question 853206:
Find the polynomial equation with rational coefficients whose root is i-square root of 5
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Question is like this:
Find the polynomial equation with rational coefficients whose root is i%2Asqrt%285%29.

Imaginary zeros of polynomial function happen in conjugate pairs. Your example INCLUDES a zero, -i%2Asqrt%285%29 also.

Your function may be called g(x) and g%28x%29=%28x-i%2Asqrt%285%29%29%28x%2Bi%2Asqrt%285%29%29
g%28x%29=x%5E2-i%5E2%2A5 according to formula for difference of squares.
g%28x%29=x%5E2-%28-1%295
highlight%28g%28x%29=x%5E2%2B5%29