Find the X- and Y-Intercepts of the Function $$p ( x ) = 3 x ^ { 2 } + 5 x - 3$$

Multiple Choice

Find the x- and y-intercepts of the function. $$p ( x ) = 3 x ^ { 2 } + 5 x - 3$$

A) $x$ -intercepts: none; $y =$ intercept: $( 0 , - 3 )$
B) $x$ -intercepts: $\left( \frac { - 5 - \sqrt { 61 } } { 6 } , 0 \right) , \left( \frac { - 5 + \sqrt { 61 } } { 6 } , 0 \right) ; y =$ intercept: $( 0 , - 5 )$
C) $x$ -intercepts: $\left( \frac { - 5 - \sqrt { 61 } } { 6 } , 0 \right) , \left( \frac { - 5 + \sqrt { 61 } } { 6 } , 0 \right) ; y = \operatorname { intercept } : ( 0 , - 3 )$
D) $x$ -intercepts: none; $y =$ intercept: $( 0,5 )$