SOLUTION: Write a polynomial function with rational coefficients in standard form with the given zeros. square root of 3, 2i

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Question 940563: Write a polynomial function with rational coefficients in standard form with the given zeros.
square root of 3, 2i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
With real coefficients, complex roots come in complex conjugate pairs.
With rational coefficients, -sqrt%283%29 must also be a root.
f%28x%29=%28x-sqrt%283%29%29%28x%2Bsqrt%283%29%29%28x-2i%29%28x%2B2i%29
f%28x%29=%28x%5E2-3%29%28x%5E2%2B4%29
f%28x%29=x%5E4%2Bx%5E2-12