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algebra · worked example

Solve x² - x - 12 = (x - 4)(x + 3)

Method: fatoração com números inteiros. Verified step-by-step solution with our free AI math solver.
Problem

x2−x−12x^2 - x - 12

Step-by-step solution

  1. Encontre dois números cujo produto seja −12-12 e cuja soma seja −1-1.

  2. Par (−4,3)(-4, 3): (−4)(3)=−12(-4)(3) = -12 ✓, −4+3=−1-4 + 3 = -1 ✓.

  3. Fatore: (x−4)(x+3)(x - 4)(x + 3).

Answer

(x−4)(x+3)(x - 4)(x + 3)

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