(1 point) List all possible rational roots for the function f(x) = 3x4+5x3 +9x2-

Question

(1 point) List all possible rational roots for the function f(x) = 3x4+5x3 +9x2-4x + 51. 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: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Possible rational root: Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root? Is it a root?

Explanation / Answer

Rational root theorem to be used.

Factors of constant term = -1, +1, -3, +3, -17, +17

Factors of coeff of heighest degree = -1, +1, -3, +3

possible rational roots -

no real roots exist for this polynomial

please upvote the answer.

possible root polynomial value root -1 62 no 1 64 no -3 252 no 3 498 no 17 277712 no -17 228718 no -17/3 2546 no 17/3 10425757996371100000 no

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