SOLUTION: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros: 3, (i square root of 2)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros: 3, (i square root of 2)      Log On


   

Question 1105269: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros: 3, (i square root of 2)
Answer by Alan3354(69443) About Me  (Show Source):
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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros: 3, (i square root of 2)
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The 3rd zero is -i*sqrt(2)
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f%28x%29+=+%28x-3%29%2A%28x%2Bi%2Asqrt%282%29%29%2A%28x-i%2Asqrt%282%29%29