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.
- $f ( x ) = 5 x ^ { 9 } - 4 x ^ { 8 } + x ^ { 7 } + 2.5 x + 15$

A) maximum number of x-intercepts: 9; minimum number of x-intercepts: 3
B) maximum number of x-intercepts: 9; minimum number of x-intercepts: 2
C) maximum number of x-intercepts: 9; minimum number of x-intercepts: 0
D) maximum number of x-intercepts: 9; minimum number of x-intercepts: 1