im susposed to find a polynomial function how would i do it i need to know asap?

Question

im susposed to find a polynomial function with interger coeficientsthat has the given zeros how would i do that with (6,-5+2i,and -5-2i)

Answer 1

If a polynomial has a root at x = n, then it means that (x - n) is a factor of the polynomial. Just multiply (x - 6)(x - (-5 + 2i))(x - (-5 - 2i)). I'd suggest multiplying the complex factors first, just to get them out of the way. You should find that the product has only real coefficients.

Answer 2

Hi. If r is a zero of a polynomial, then (x - r) is a factor. Multiply the three factors that your roots give you (multiply the two complex ones first; the answer has real coefficients) and you have the result. Good luck!