Finding a polynomial of a given degree with given zeros

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

1,  3+2i 

Simplify completely with i's.

Oct 16th, 2015

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

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

f(x) = (x-1)(x - 3)^2-(2i)^2 

f(x) = (x-1)(x^2 - 6x +9)+4 

f(x) = (x^3-6x^2 +9x -x^2 + 6x -9)+4 

f(x) = x^3-7x^2 +15x -5 answer 



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Oct 16th, 2015

answer was incorrect

Oct 16th, 2015

answer was incorrect

Oct 16th, 2015

how dear i have solved all the question 

what is the answer?


Oct 16th, 2015

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