Give the Maximum Number of Zeros the Polynomial Function May $$f ( x ) = - 2 x ^ { 5 } + x ^ { 3 } - x ^ { 2 } + 3$$

Multiple Choice

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how
many positive and how many negative zeros it may have.
- $$f ( x ) = - 2 x ^ { 5 } + x ^ { 3 } - x ^ { 2 } + 3$$

A) 5 ; 3 or 1 positive zeros; 2 or 0 negative zeros
B) 5 ; 2 or 0 positive zeros; 2 or 0 negative zeros
C) 5 ; 3 or 1 positive zeros; 3 or 1 negative zeros
D) $5 ; 2$ or 0 positive zeros; 3 or 1 negative zeros