Question

Find the least common multiple of x2 - 4x – 5 and x2 – 3x – 10.

Answer 1

LCM is 3 (x + 1)(x - 5)(x + 2)

Step-by-step explanation:

Given polynomials are:

x2 - 4x – 5 and x2 – 3x – 10.

Factorizing x^2-4x-5

$x^2-4x-5\\= x^2-5x+x-5\\=x(x-5)+1(x-5)\\=(x+1)(x-5)$

Factorizing  x^2 – 3x – 10

$x^2 -3x -10\\=x^2-5x+2x-10\\=x(x-5)+2(x-5)\\=(x+2)(x-5)$

Looking at the fators of both polynomials we can see:

The LCM will be the combination of all factors of polynomials. The factor that occurs in both factorization will be written only once

Hence,

LCM is 3 (x + 1)(x - 5)(x + 2)

Keywords: Polynomials, LCM

Learn more about LCM at:

• brainly.com/question/106975
• brainly.com/question/107042

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