Find The $x$ - And $y$ -Intercepts $x$ -Intercepts Exist, State So $f(x)=3 x^{2}+6 x+1$

Multiple Choice

Find the $x$ - and $y$ -intercepts. If no $x$ -intercepts exist, state so.
- $f(x) =3 x^{2}+6 x+1$

A) $\left(\frac{-3 \pm \sqrt{3}}{3}, 0\right) ,(0,-1)$

B) $\left(\frac{-3 \pm \sqrt{6}}{3}, 0\right) ,(0,1)$

C) $\left(\frac{-6 \pm \sqrt{6}}{3}, 0\right) ,(0,1)$

D) $\left(\frac{-3 \pm \sqrt{6}}{6}, 0\right) ,(0,-1)$