Question

What is the polynomial of the smallest degree with integer coefficients and with zero's
3,1+i,-1​

Answer 1

Step-by-step explanation:

If 1+i is a root and the coefficients are real then the conjugate i.e. 1-i is also a root. Hence the equation will have 4 roots . Therefore the minimum degree of the polynomial will be 4.

And the polynomial would be

(x+1)(x-3)(x^2 - 2x + 2)

I hope that it will help you.