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

1, 3 + 2i 

Oct 16th, 2015

Thank you for the opportunity to help you with your question!



The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0
zeroes 1, 3-2i (and 3+2i)
f(x) = (x-1)(x-(3-2i))(x-(3+2i)

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

I need to know what this is when it is multiplied out and simplified with the i's

Oct 16th, 2015

(x-1)(x-3+2i)(x-3-2i)

=(x-1)(x^2-3x-2ix-3x+9+6i+2ix-6i+4)

=(x-1)(x^2-6x+13)

=x^3-6x^2+13x-x^2+6x-13

=x^3-7x^2+19x-13  is final answer .

Pls rate with excelllent rating .

Oct 17th, 2015

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