SOLUTION: Find a polynomial f(x)with real coefficients having the given degree and zeros Degree 5 zeros 9;-i;-6+i

Question 772260: Find a polynomial f(x)with real coefficients having the given degree and zeros
Degree 5 zeros 9;-i;-6+i
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The complex nonreal numbers come with their conjugates.
Form the factored form of the function:

Fully multiply the expression...
...you may need some pre-simplifications first as well as later...

.
.
There is much more multiplying and simplifying to do, but at least I showed enough of the steps so you can see how to handle the complex roots and complex factors and begin their simplifications. I post just that unfinished solution to the extent shown.
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