I'm going through some problems and I'm really stumped on this one. The questions says that
Given $f(x)=|x|$, show that there is a sequence of (real) polynomials $P_n(x)$ with $P_n(0)=0$ that converge uniformly to $f(x)$ on the interval $[-1,1]$.
I think an application of the Weierstrass theorem is in order, but I don't know how to apply it here and so I'll need some help.
Thanks.