algebra · worked example

Solve x² - x - 12 = (x - 4)(x + 3)

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Problem

x2x12x^2 - x - 12

Step-by-step solution

  1. أوجد عددين حاصل ضربهما 12-12 ومجموعهما 1-1.

  2. الزوج (4,3)(-4, 3): (4)(3)=12(-4)(3) = -12 ✓، 4+3=1-4 + 3 = -1 ✓.

  3. حلّل: (x4)(x+3)(x - 4)(x + 3).

Answer

(x4)(x+3)(x - 4)(x + 3)

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