Can this equation be factored? 3x^3-5x^2+2x+1

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Can this equation be factored? 3x^3-5x^2+2x+1

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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by rational root theorem there might be roots of +-1 , -/+ 3 try seeing if f(1) , f(-1) , f(3) or f(-3) = 0
f(1) andf (-1) do not = 0
Can you please explain what the rational root theorem is?

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multiply coefficient of x^3 and x^0 - in this case its 3 and 1 - the roots could be factors of 3 ( including 1)
but neither f(3) or f(-3) are roots either
Oh I see, so this equation cannot be simplified at all.
oh hold on i made an error calculating f(-3)...
no f(-3) not = 0 either
no this can't be factored
Alright thanks!
yw

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