JOIN NOW

Mathematics

L.C.M. of x2 + 3x + 2 and x2 - 2x - 3 in simplest form is:

  1. (x + 1)2(x + 2)(x + 3)

  2. (x2 + 3x + 2)(x2 - 2x - 3)

  3. (x + 1)(x + 2)(x - 3)

  4. none of these

Factorisation

2 Likes

Answer

Given, x2 + 3x + 2 and x2 - 2x - 3

The factors of x2 + 3x + 2

⇒ x2 + 2x + x + 2

⇒ x(x + 2) + 1(x + 2)

⇒ (x + 2)(x + 1).

The factors of x2 - 2x - 3

⇒ x2 - 3x + x - 3

⇒ x(x - 3) + 1(x - 3)

⇒ (x - 3)(x + 1)

L.C.M. = (x + 1)(x + 2)(x - 3)

Hence, option 3 is the correct option.

Answered By

1 Like

Related Questions