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question
factor.
$x^2 - 2x - 24$
Step1: Encontrar dos números
Buscamos dos números que sumen -2 y multipliquen -24. Los números son -6 y 4, ya que \(-6 + 4 = -2\) y \(-6 \times 4 = -24\).
Step2: Factorizar el trinomio
Reemplazamos el término medio usando estos números: \(x^2 - 6x + 4x - 24\). Luego, agrupamos y factorizamos: \(x(x - 6) + 4(x - 6) = (x - 6)(x + 4)\).
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\((x - 6)(x + 4)\)