Question

Find the polynomial function of the lowest degree with rational coefficients that has the given numbers as some of its zeros.
4-i,square root of 12

Answer 1

two other roots are \(4+i\) and \(-\sqrt{12}\)

Answer 2

Irrationals and conjugates occurs in pairs.

Answer 3

so your job is to multiply out
\[(x+\sqrt{12})(x-\sqrt{12})(x-(4+i))(x-(4-i))\] whih is not nearly as hard as it looks