SOLUTION: Find all of the possible rational zeros of {{{8x^3-3x^2+5x-6}}}

Algebra ->  Graphs -> SOLUTION: Find all of the possible rational zeros of {{{8x^3-3x^2+5x-6}}}      Log On


   

Question 138659: Find all of the possible rational zeros of 8x%5E3-3x%5E2%2B5x-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Any rational zero can be found through this equation

where p and q are the factors of the last and first coefficients


So let's list the factors of -6 (the last coefficient):



Now let's list the factors of 8 (the first coefficient):



Now let's divide each factor of the last coefficient by each factor of the first coefficient







Now simplify

These are all the distinct rational zeros of the function that could occur