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Extended response question? Please help me? :(

Mathematics
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Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 9x^4 – 17x^3 + 2x^2 – 3x + 33.
Polynomial functions with integer coefficients have roots = p/q where p = factor of constant (33) and q = factor of leading coefficient (9) Possible values for p: ±1, ±3, ±11, ±33 Possible values for q: 1, 3, 9 NOTE: I don't bother with negative values for q, since I already have positive and negative values for p. So letting p = 11 and q = -1 is the same as letting p = -11 and q = 1. So all possible rational roots are ±1, ±1/3, ±1/9, ±3, ±11, ±11/3, ±11/9, ±33 Trying all these possible values of x, we find that none is a zero of f(x) (It would be helpful to have a programming calculator, enter the function, then enter each value of x)

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