SOLUTION: Given P(x)=2x^5 + 7x^4 - 2x^3 - 25x^2 - 12x + 12 1.Using the rational roots theorem, list all possible distinct rational roots of P(x).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given P(x)=2x^5 + 7x^4 - 2x^3 - 25x^2 - 12x + 12 1.Using the rational roots theorem, list all possible distinct rational roots of P(x).      Log On


   

Question 131238: Given P(x)=2x^5 + 7x^4 - 2x^3 - 25x^2 - 12x + 12

1.Using the rational roots theorem, list all possible distinct rational roots of P(x).
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 12 (the last coefficient):



Now let's list the factors of 2 (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