Determine the Maximum and Minimum Number of X-Intercepts for the Graph

Multiple Choice

Determine the maximum and minimum number of x-intercepts for the graph of the polynomial function. Do not graph
the function.
- $f ( x ) = 5 x ^ { 3 } + x ^ { 2 } - 5 x - 2$

A) maximum number of x-intercepts: 3; minimum number of x-intercepts: 0
B) maximum number of x-intercepts: 3; minimum number of x-intercepts: 1
C) maximum number of x-intercepts: 3; minimum number of x-intercepts: 2
D) maximum number of x-intercepts: 2; minimum number of x-intercepts: 1