Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.

Question

sqrt of 3 and 4i

disregard the first post, thanks!

Answer 1

since the roots come in conjugate pairs,

y = (x+√3)(x-√3)(x-4i)(x+4i)
= (x^2-3)(x^2+16)
...