Question

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

Answer 1

I'm assuming that there is another root which should be -SQRT(11)
f(x) = x(x-4)(x+SQRT(11))(x-SQRT(11)
Then
f(x) = x^4 -4x^3 - 11x^2 +44x