Exams › SSC CGL (Prelims) › General

Find the LCM of the polynomials x^2 - 8x + 15 and x^2 - 5x + 6.

1. (x - 2)(x - 3)(x - 5)
2. (x - 6)^2(x + 1)(x - 3)
3. (x - 6)(x + 1)(x - 3)
4. (x + 6)(x + 1)(x - 3)

Correct answer: (x - 2)(x - 3)(x - 5)

Solution

Factoring: x^2 - 8x + 15 = (x-3)(x-5) and x^2 - 5x + 6 = (x-2)(x-3). The LCM is the product of all distinct factors: (x-2)(x-3)(x-5).

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