exam Maths Puzzle Numerical Ability

Please help w/ the following:
Find the rational roots of F. List any irrational roots correct to two decimal places.
f(x)= x^4+7x^3+x^2-35x-30
Thank you.

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exam Other Question

I have the following problem:

If 2f(x)+f(1-x)=x2(this should be "x-squared"), what is f(x)?

The answer is f(x)=1/3x2+2/3x-1/3. But how in the world do you get to this answer Please help me pick the correct answer.

If x-y=6 and 3x^2+3xy-6y^2=60, then 9x+18y=

Answers:
a) 12
b) 15
c) 20
d) 24
e) 30