Question

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Answer 1

Beats me, I don't use Wolfram. But the rational root theorem says to take all the combinations of factors of the constant divided by the factors of the leading coefficient.

Answer 2

i.e. all the possible rational roots will be of the form, p/q where p is a factor of the constant (in your case, 4), and q is a factor of the leading coefficient (3).

Answer 3

ok