I get .

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- September 22nd 2009, 03:24 PM #1

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## Is this right?

Find a polynomial function with integer coefficients that has the given zeros:

0, 0, 4, 1 + i

My work:

f(x) = (x - 0) (x - 0) (x - 4) (x - 1 - i)

x^2 (x - 4) multiply (x - (1 + i)) (x - (1 - i))

x^2 (x - 4) (x^2 - 2x + 2)

x^5 - 6x^4 + 3x^3 - 4x^2

So I'm not sure if this is correct?

- September 22nd 2009, 03:32 PM #2

- September 22nd 2009, 03:36 PM #3

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