exam Maths Puzzle Numerical Ability

Solve for x: f(x)=X^4-2x^3x^2+8x-4=0
How can I find all possible roots and for this polynomial. How can I sketch a graph of this?
My instructor also uses synthetic divsion after he finds the first root and factor.

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exam Other Question

Reciprocal for (-1/5)(20/5))10) multiply then put in lowest terms....... i got this far now im not sure what to do?

2x+2/(x+4)(x-1) times (x+4)(x-2)/2x-4