Find a polynomial f(x) of degree 3

Algebra
Tutor: None Selected Time limit: 1 Day

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 

Oct 16th, 2015

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If 2+i is a zero then 2-i should also be a zero of that polynomial.

hence,the zeros are -4, 2+i, 2-i

the polynomial is (x+4)(x-2-i)(x-2+i) =0

(x+4)(x^2-4x+5) = 0

x^3-4x^2+5x+4x^2-16x+20 = 0

x^3 - 11x + 20 =0

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 16th, 2015

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