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.
- $f ( x ) = 7 x ^ { 6 } - 6 x ^ { 5 } + x ^ { 4 } + 3.5 x - 5$

A) maximum number of x-intercepts: 5; minimum number of x-intercepts: 2
B) maximum number of x-intercepts: 5; minimum number of x-intercepts: 0
C) maximum number of x-intercepts: 6; minimum number of x-intercepts: 0
D) maximum number of x-intercepts: 6; minimum number of x-intercepts: 2