exam Maths Puzzle Numerical Ability

is 3x=5y a linear equation

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Mike inherits $ 125400 and invest them on two certificate of deposit one paying 4.5% and the other 7% simple annual interest. If the interest Mike receives is for the amount of $ 7 Solve for x: f(x)=2x^3+3x^2-8x+3=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.