## Divided difference help?

Show that the polynomial $p_5$ of deg<=5 such that

x |-2|-1|0|1|2|3|
p(x)|1|4|11|16|13|-4|

That is supposed to be a table with the x's and p(x) values so they just match up like -2 with 1, -1 with 4 etc.
Show it has degree =3 .