Hi,

I need some help with this problem, please.

Find a polynomial of minimum degree that has the zeros below. Assume the leading coefficient is 1. Give the answer as the product of linear and quadratic factors with only integer coefficients.
Zeros of F(x): x = 3; x = 2 + √5; x = 2 - √5; x = i√7; x = 4 - i

So far, I have: 0 = x - 3; 0 = -2 - √5; 0 = x - 2 + √5; 0 = x - i√7; 0 = -4 + i
Assuming I'm correct, that means: (x - 3)(x - 2 - √5)(x - 2 + √5)(x - i√7)(-4 + i)
I used your polynomial generator and got: x^5 - 11x^4 + 44x^3 - 76x^2 + 48x

What steps do I have to take to get to the correct answer (as directed in the problem's instructions)?
Full explanations are most helpful...
Thanks in advance!

Hi,

It seems you already have your answer.

I don't see how i can be of any help.

Regards,
Livius