algebra · worked example

Solve x² - x - 12

Method: integer factoring. Verified step-by-step solution with our free AI math solver.
Problem

x2x12x^2 - x - 12

Step-by-step solution

  1. Find two numbers multiplying to 12-12 and adding to 1-1.

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

  3. Factor: (x4)(x+3)(x - 4)(x + 3).

Answer

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

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