Form a polynomial f(x)
posted by Ashley .
Form a polynomial f(x) with the real coefficients having the given degree and zeros.
Degree 5; Zeros: 3; i; 6+i
f(x)=a( )

If the zeroes are a1,a2,a3, etc. then the polynomial is:
p(x) = A (xa1)(xa2)(xa3)....
If all the coefficients are real, then the zeroes come in pairs of complex conjugates. So, in this problem it is given that i is a zero, and then it follows that i is also a zero. 
So then a=0?

What would be the polynomial?
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