Respuesta :

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

Given

x² - 4x - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)

The factors are - 6 and + 2, since

- 6 × 2 = - 12 and - 6 + 2 = - 4 , thus

x² - 4x - 12 = (x - 6)(x + 2) ← in factored form

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[tex] {x}^{2} - 4x - 12 = (x - 6)(x + 2) \\ [/tex]

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