(a lot of points if u do this since it's a lot) State the possible number of real zeros and the possible rational zeros for each function. Then find all rational zeros.

1) f (x) = x^3 + x^2 − 21x + 27

2) f (x) = 5x^3 + 23x^2 + 45x − 22

3) f (x) = x^3 − 10x^2 + 32x − 33

4) f (x) = 4x^3 + 4x^2 − x − 1

5) f (x) = 3x^3 − 37x^2 − 12x + 8

6) f (x) = x^3 − x^2 − 5x − 3

7) f (x) = 2x^3 + 5x^2 − 37x + 12

8) f (x) = 3x^3 + 22x^2 + 42x + 35