Posted by **Amber** on Thursday, September 27, 2012 at 3:45am.

find a polynomial of least degree(having real coefficients) with zeros: 5, -2, 2i

- Math -
**bobpursley**, Thursday, September 27, 2012 at 4:09am
multiply this out:

(x-5) (x^2+4)

I suspect you copied the problem wrong, it should be zeroes at 5, -2i, 2i

- Math -
**Steve**, Thursday, September 27, 2012 at 11:21am
Unless there is the implicit assumption that if 2i is a root, so is -2i, so the polynomial would be

(x-5)(x+2)(x^2+4) = x^4 - 3x^3 - 6x^2 - 12x - 40

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