SOLUTION: Find a polynomial fx of degree 3 with real coefficients and the following zeros. 3 , 1-i

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Question 1109275: Find a polynomial
fx
of degree
3
with real coefficients and the following zeros.
3

,

1-i
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the roots are 3, 1+i and 1-i, because complex roots come in conjugate pairs.
Therefore, the factors are (x-3)(x-(1+i)) and (x-(1-i))
(x-3)(x-i-1)(x+i-1)
(x-3)(x^2-2x+2)
=x^3-5x^2+8x-6
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-5x%5E2%2B8x-6%29