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You may get the possible rational roots by using rational root theorem :
The rational roots of any polynomial with integer coefficients are of form : \frac{p}{q}
p = factor of constant term
q = factor of leading coefficient

In our case

factors of 5 : \pm{1},~\pm{5}
factors of 6 : \pm{1},~\pm{2},~\pm{3},~\pm{6}

therefore the possible rational roots are :

2 5 2
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You r teacher in mathematics, m I right or wrong