Question

what are the x and y intercepts of f(x)=x^4-6x^2?

Answer 1

factor first as
\[x^2(x^2-6)\] and solve
\[x^2(x^2-6)=0\]
\[x^2=0\implies x=0\]
\[x^2-6=0\implies x^2=6\implies x=\pm\sqrt{6}\]so those are your x intercepts

Answer 2

y intercept is 0 since
\[f(0)=0\]