If p(x) is a polynomial in x, the factor theorem states that (x-a) is a factor of p(x) if p(a)=0.

The factor theorem is a special case of the remainder theorem.

(none)	(none)			Polynomial Root RootsOfPolynomials
↓	↓		↓	↓
RemainderTheorem			FundamentalTheoremOfAlgebra
			↓
		⇌	You are here FactorTheorem
			↓
			Polynomial
↓	↓		↓	↓
(none)	(none)			ComplexNumber FundamentalTheoremOfAlgebra RootsOfPolynomials

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Factor Theorem