If p(x) is a polynomial in x, the remainder theorem states that:

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

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

Local neighbourhood - D3

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Remainder Theorem