Mathematical formulas

Algebra

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Subjects
Algebra
Polynomials
Factor theorem

11. Polynomials

Factor theorem

Level: intermediate

In 11. Polynomials

Formula

P (a) = 0 ⟺ (x - a) es factor de P (x)

Detail

Relates roots and linear factors.

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Quadratic via roots
$a x^{2} + b x + c = a (x - r_{1}) (x - r_{2})$
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Factorization by roots
$P (x) = a_{n} k = 1 \prod n (x - r_{k})$
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