Re: possible zeros
list all the possible zeros of f(x) = 3x^5 - 7x^3 + 2x - 15
The constant term is -15; its factors are ±1, ±3, ± 5, and ±15. Call that set P.
The leading term coefficient is 3; its factors are ±1, ±3. Call that set Q.
Now consider P/Q: {±1, ±1/3, ±5/3, ±5, ±3, ±15}.
These are the possible rational zeros of the function.