exam Maths Puzzle Numerical Ability

Find the quotient and remainder when x^3 - 2x^2 + 3x - 4 is divided by x-3

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exam Other Question

Solve and check for x.

x/x-2 - x+1/x = 8/x^2-2x

I don't know how to find the LCD. Can you help?
If y varies as x and y=100 when x=10 and z=5, find y when x=12 and z=6.

Thanks