# Polynomials are not fun

Algebra Level pending

$${x,y,z}$$ are numbers such that $$xyz=1$$, $$xy+xz+yz=2$$, and $$x+y+z=3$$. If $$x,y$$ and $$z$$ are the roots of the cubic polynomial $$3n^3-an^2+bn-c=0$$, what is $$a+b+c$$?

×