exam Maths Puzzle Numerical Ability

pleae ask me a question please..

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3x-2y=20
Find the x & y intercept and graph the equation. 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.