Help with Rational Roots Polynomials

In  the form    ax^n  + bx^m +.......  + c  =  0

The possible rational  roots  [ rational meaning that we can express a number as a fraction]  are all the possible factors  of  "c"   over all the possible factors of "a"

So we have

9x^3  + 14x^2 - x + 18   =  0

So...all the possible  factors of  c = 18  are ±18, ±9, ±6, ±3, ±2, ±1

And all the possible factors of  a  = 9   are  ±9, ±3, ±1

So....in your answer...all the possible rational roots  are    ±1/3  and ±3/1

Note that ±1/2  isn't possible because ±2  isn't a factor of  9

And  ±1/ 18  isn't possibe because ±18  isn't a factor of 9

Note something, PhoenixForever......this does not mean that these are necessarily the roots of the equation....they are just possible roots...!!!

Here's a resource I always like, Purplemath....it explains this in more detail than I can :

https://www.purplemath.com/modules/rtnlroot.htm