SOLUTION: Please help with this question: Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2 Thank you.

Algebra ->  Rational-functions -> SOLUTION: Please help with this question: Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2 Thank you.      Log On


   

Question 166558: Please help with this question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2
Thank you.
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 -2 (the last coefficient):



Now let's list the factors of 3 (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