SOLUTION: Find a polynomial f(x)of degree 3 with real coefficients and the following zeros. 4,2+i

Question 681921: Find a polynomial f(x)of degree 3 with real coefficients and the following zeros.
4,2+i
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
given zeros
4 and 2+i
...
unstated but known
2-i as it is the conjugate pair
...
x=4, so x-4=0
x=2+/-i, so x-2= +/- i; therefore and , which is
...
Taking (x-4) and , which is
and multiplying them
(x-4)()
to get

combine like terms

.....................
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