SOLUTION: . List all possible rational roots of f (x) = 12x4 — 67x3 + 108x2 — 47x + 6.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: . List all possible rational roots of f (x) = 12x4 — 67x3 + 108x2 — 47x + 6.       Log On


   

Question 113801: . List all possible rational roots of
f (x) = 12x4 — 67x3 + 108x2 — 47x + 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 formula

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


So let's list the factors of 6 (the last coefficient of 12x%5E4-67x%5E3%2B108x%5E2-47x%2B6):



Now let's list the factors of 12 (the first coefficient of 12x%5E4-67x%5E3%2B108x%5E2-47x%2B6):



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 (remember these are all possible zeros)