Question 269865
First we apply P - N - I to help us view sign changes and possible combinations.
P . . . . N . . . . I
3 . . . . 1 . . . .0
1 . . . . 1 . . . .2
So we know that there must be 1 real negative root.
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next we apply P / Q as
P: +-1, +-2, +-3, +-6
Q: +-1, +-2, +-4
we take all possible fractions and get:
P/Q = +-1, +-1/2 +-1/4, +-2, +-3, +-3/2, +-3/4, +-6
This is our list of potential rational zeros