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Mathematics

Is (x - 2) a factor of x3 - 4x2 - 11x + 30 ?

  1. yes

  2. no

  3. nothing can be said

  4. none of the above is true

Factorisation

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Answer

Given,

⇒ x - 2 = 0

⇒ x = 2.

Substituting x = 2 in x3 - 4x2 - 11x + 30, we get :

⇒ 23 - 4(2)2 - 11(2) + 30

⇒ 8 - 4(4) - 22 + 30

⇒ 8 - 16 - 22 + 30

⇒ 38 - 38

⇒ 0.

Since, remainder = 0.

∴ x - 2 is factor of x3 - 4x2 - 11x + 30.

Hence, Option 1 is the correct option.

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