A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of 12-\sqrt(5) and 2i.
Two additional roots of P(x)=0 are
The given roots of the polynomial function are 12-√5 and 2i. Therefore, the complex conjugate of 2i is also a root, which is -2i.
So, the two additional roots of P(x) = 0 are -2i and 12-√5.