exam Maths Puzzle Numerical Ability

FIND ALL RATIONAL ZEROS AND FACTOR f(X).
F(X)=X^3+2X^2-45X-126

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I am not sure how to set up the equation or how to solve this word problem.

Elena bicycles 5km/h faster then Carlos. In the same time it takes Carlos to bicycle 39km, Elena can bicycle 54km. How fst does each bicyclist travel?
Learning algebra as it applies to electronics. Having trouble with this one because I do not know what to do with the 1/2 shown in the equation.

x= -1/ [2phi(FC)1/2]