algebra · worked example

Solve x² - 2x - 15 = (x - 5)(x + 3)

Method: Faktorisierung mit ganzen Zahlen. Verified step-by-step solution with our free AI math solver.
Problem

x22x15x^2 - 2x - 15

Step-by-step solution

  1. Finde zwei Zahlen, deren Produkt 15-15 und deren Summe 2-2 ist.

  2. Probiere (5,3)(-5, 3): (5)(3)=15(-5)(3) = -15 ✓, 5+3=2-5 + 3 = -2 ✓.

  3. Ergebnis: (x5)(x+3)(x - 5)(x + 3).

Answer

(x5)(x+3)(x - 5)(x + 3)

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