Answer:
If polynomial with rational coefficients has root 3 –i, it also has a root 3 + i (complex conjugate). The example of polynomial with roots 3, 3, 3 –i, 3 + i is (x−3)2(x−(3−i))(x−(3+i))=(x−3)²(x−6x+10)=x4−12x3+55x2−114x+90.
Step-by-step explanation:
