Edit made on August 15, 2011 by ColinWright at 20:49:13
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If EQN:p(x) /p(x)/ is a polynomial in EQN:x, /x,/ the factor theorem states that EQN:(x-a) /(x-a)/ is a factor of EQN:p(x) /p(x)/ if EQN:p(a)=0 /p(a)=0./
The factor theorem is a special case of the remainder theorem.