exam Maths Puzzle Numerical Ability

10y62+9Y+2 FACTORING POLYNOMIALS HAVING TROUBLE WITH HOMEWORK THANKS

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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.
Complete the ordered pairs so that each is a solution for the given equation.
3x+4y=12 (0, ), ( ,3/4), ( ,0), (8/3, )
McGraw Hill 6th edition, chapter 6, section 1, problem # 24. Thanks for your help!!