Find The $x$ - And $y$ -Intercepts $x$ -Intercepts Exist, State So $f(x)=x^{2}-3 x+8$

Multiple Choice

Find the $x$ - and $y$ -intercepts. If no $x$ -intercepts exist, state so.
- $f(x) =x^{2}-3 x+8$

A) $\left(\frac{3 \pm \sqrt{41}}{2}, 0\right) ,(0,-8)$

B) No x- intercepts, (0, - 8)

C) $\left(\frac{3 \pm \sqrt{41}}{2}, 0\right) ,(0,8)$

D) No x-intercepts, (0, 8)