Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given root 4-3i

Question

Answer

P(x)=x^2-(answer here)x+(answer here)

Answer 1

The complex conjugate of a complex root must also be a root. With a leading coefficient of 1,

P(x) = [x - (4 - 3i)] [x - (4 + 3i)]

Expand this to standard form and finish from here.