exam Maths Puzzle Numerical Ability

Use the rational roots theorem to solve:
p(x)=x^4-5x^3+5x^2+5x-6

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exam Other Question

Consider the following function
f(x) = 2 sin(x/4 - p)

What is the amplitude of this function?
What is the exact period of f(x) (in radians)? Could you please solve by using sustitution method. Please show details.
Thank you.

x - y = 3
3x - 2y = 3

Also please tell if it is independent, inconsistent or dependent.