Identify All Intercepts Of $f ( x ) = \frac { x ^ { 2 } + 7 x + 10 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$

Multiple Choice

Identify all intercepts of $f ( x ) = \frac { x ^ { 2 } + 7 x + 10 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$ .

A) x-intercept: none; y-intercept: none
B) x-intercept: $\left( - \frac { 7 } { 5 } , 0 \right)$ ; y-intercept: none
C) x-intercept: (-2, 0) ; y-intercept: (0, -2)
D) x-intercepts: (-5, 0) , (-1,0) , (1, 0) ; y-intercept: (0, -2)
E) x-intercept: (0, 0) ; y-intercept: (0, 0)