Tell the maximum number of zeros that the polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial function may have. Do not attempt to find the zeros.

f(x) = 7x⁷ + 3x⁶ + 6x⁴ + 8x + 7

Part 1

What is the maximum number of zeros that this polynomial function can have?

...........?

Part 2

How many positive real zeros can the function have?

...........? (Use a comma to separate answers as needed.)

Part 3

How many negative real zeros can the function have?

...........? (Use a comma to separate answers as needed.)