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algebra · worked example

Solve x² - x - 12 = (x - 4)(x + 3)

Method: 整數因式分解. Verified step-by-step solution with our free AI math solver.
Problem

x2−x−12x^2 - x - 12

Step-by-step solution

  1. 找出兩個數，相乘為 −12-12、相加為 −1-1。

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

  3. 分解：(x−4)(x+3)(x - 4)(x + 3)。

Answer

(x−4)(x+3)(x - 4)(x + 3)

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