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The factors of polynomial \(x^{3}-6 x^{2}+11 x-6\) are :

Question and options

The factors of polynomial x3−6x2+11x−6x^{3}-6 x^{2}+11 x-6 are :
  1. (x+1)(x+2)(x+3)(x+1)(x+2)(x+3)
  2. (x−1)(x+2)(x+3)(x-1)(x+2)(x+3)
  3. (x−1)(x−2)(x−3)(x-1)(x-2)(x-3)
  4. (x−1)(x−2)(x+3)(x-1)(x-2)(x+3)

Answer and explanation

Correct answer: C - \((x-1)(x-2)(x-3)\)
x=1 makes the polynomial 0, and the quotient x^2-5x+6 = (x-2)(x-3). So it factors as (x-1)(x-2)(x-3).

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