If a polynomial has only integer roots, is it always possible to find a root using the rational roots theorem?
Can the rational roots theorem always find a root?
2
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algebra-precalculus
polynomials
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8Yes. That's what the rational root theorem guarantees (given that you can factor the constant term). – 2011-12-19
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2It's difficult to answer till you clarify precisely what you mean by "find a root". E.g. it could mean anything ranging from a nonconstructive existence proof to a polynomial time root-finding algorithm. – 2011-12-20