24 '11 at 17:13 feedback 3 Answers active oldest votes up vote 8 down vote accepted Yes all non-constant polynomials are unbounded. You could see Liouville's Theorem , or just notice that the leading coefficient of the polynomial will dominate. That is if I look at $$p(x)=a_n x^n +a_{n-1}x^{n-1}+\cdots+a_1x+a_0$$ then as $x\rightarrow\infty$