KnowledgeBoat Logo
|

Mathematics

The factor common to the two polynomials x2 - 4 and x3 - x2 - 4x + 4

  1. (x + 1)

  2. (x - 1)

  3. (x - 2)

  4. (x - 4)

Factorisation

13 Likes

Answer

Factorize :

⇒ x2 - 4

⇒ (x - 2)(x + 2)

Factorize :

⇒ x3 - x2 - 4x + 4

⇒ (x3 - x2) - (4x - 4)

⇒ x2(x - 1) - 4(x - 1)

⇒ (x - 1)(x2 - 4)

⇒ (x - 1)(x2 - 22)

⇒ (x - 1)(x - 2)(x + 2).

Common factors between x2 - 4 and x3 - x2 - 4x + 4 = (x - 2) and (x + 2).

Hence, option 3 is the correct option.

Answered By

6 Likes


Related Questions