exam Maths Puzzle Numerical Ability

Can anyone help me with this question: use the rational zero theorem to find all possible rational zeros of the polynomial g(x)=-x^3-3x^2-9x+21 I appreciate any help.

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exam Other Question

One of the scientists derived the following equation for Pn, the size of the kangaroo population at the end of the nth week of their stay (P0 = 51 000).
Pn = Pn-1 + a - b(2.5)n-1
11. is the function f(x)=x^5+4x-7 even, odd, or neither?

12. determine the intervals over which f(x)=(x^2-4)^2 is increasing, decreasing, or constant.