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Mathematics

(x - 2) is a factor of :

  1. x3 - x2 + x - 6

  2. x3 + x2 + x + 6

  3. 2x3 - 6x2 + 5x - 1

  4. x3 - 4x2 + x - 8

Factorisation

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Answer

⇒ x - 2 = 0

⇒ x = 2.

Substituting x = 2 in x3 - x2 + x - 6, we get :

⇒ 23 - 22 + 2 - 6

⇒ 8 - 4 + 2 - 6

⇒ 10 - 10

⇒ 0.

Since, remainder = 0.

∴ x - 2 is a factor of x3 - x2 + x - 6.

Hence, Option 1 is the correct option.

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