SOLUTION: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=5x^3+2x^2-2x+5

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=5x^3+2x^2-2x+5      Log On

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Question 41122: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros.
f(x)=5x^3+2x^2-2x+5
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
For f(x)=5x^3+2x^2-2x+5, we look at the ratio of the constant term divided by the coefficient of the highest order term to find potential rational zeroes...
The factors of them make up the potentials...here that would be
± 5/1, ± 5/5, ± 1/5 or
± 5, ± 1, and ± 1/5