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
[tex]x^2-4x-5\\= x^2-5x+x-5\\=x(x-5)+1(x-5)\\=(x+1)(x-5)[/tex]
Factorizing x^2 – 3x – 10
[tex]x^2 -3x -10\\=x^2-5x+2x-10\\=x(x-5)+2(x-5)\\=(x+2)(x-5)[/tex]
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
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