Don't really know what I'm doing with this proof here a little help would be amazing right now. Here is the question.

Let

f(x)=a0+a1x+...+anx^n (x ϵ ℝ)

be a polynomial function, an ≠ 0. Suppose n is odd. show that the equation f(x)=0 has at least one solution in ℝ.