Factorisation of cubic polynomials
Algebraic expressions · Mathematics
Study notes
Q: Factor x^3 - 6x^2 + 11x - 6. Step 1: Try x = 1: 1 - 6 + 11 - 6 = 0. So (x - 1) is a factor. Step 2: Divide: x^3 - 6x^2 + 11x - 6 = (x - 1)(x^2 - 5x + 6). Step 3: Factor quadratic: x^2 - 5x + 6 = (x - 2)(x - 3). Answer: (x - 1)(x - 2)(x - 3).