Question

If a polynomial function f(x) has roots 0, 4, and 3 + square root 11 , what must also be a root of f(x)?

Answer 1

3-sqrt11 is the correct answer on e2020

Answer 2

3-√11
This function is evidently a quartic - a function with 4 roots. The last root has been found using the quadratic formula however, the answer always comes in pairs because the formula is
{b+√(b^2 - 4ac)}/2a and {b-√(b^2 - 4ac)}/2a. Therefore the other root must be 3-√11