List all possible rational roots for the function $$f(x) = 2 x^4 - 6 x^3 + 9 x^2 + 5 x + 34 .$$ Give your list in increasing order. Beside each possible rational root, type "yes" if it is a root and "no" if it is not a root. Leave any unnecessary answer blanks empty.

Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .
Possible rational root: Is it a root? .