Rational root theorem, Algebra

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If the rational number x= b/ c is a zero of the nth degree polynomial,

                                     P ( x ) = sxn+ ...........+ t

Where every the coefficients are integers then b will be a factor of t & c will be a factor of s.

Note that in order for this theorem to work then the zero have to be reduced to lowest terms.  In other terms it will work for 4/3 but not necessarily for 20/15.


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