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algebra · worked example

Solve x² - 2x - 15 = (x - 5)(x + 3)

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

x2−2x−15x^2 - 2x - 15

Step-by-step solution

  1. 找出兩個數，使其相乘為 −15-15 且相加為 −2-2。

  2. 嘗試 (−5,3)(-5, 3)：(−5)(3)=−15(-5)(3) = -15 ✓，−5+3=−2-5 + 3 = -2 ✓。

  3. 結果：(x−5)(x+3)(x - 5)(x + 3)。

Answer

(x−5)(x+3)(x - 5)(x + 3)

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