Find the least common multiple of x^{3}-x^{2}+x-1\ and\ x^{2}-1. Write

Cordazzoyn

Cordazzoyn

Answered question

2021-12-04

Find the least common multiple of x3x2+x1  and  x21

Answer & Explanation

Squairron

Squairron

Beginner2021-12-05Added 7 answers

Factor the polynomials provided:
x3x2+x1=x2(x1)+(x1) 
=(x1)(x2+1) 
x21=(x1)(x+1) 
The product of all the factors of each polynomial to the highest degree is the lowest common multiple. Each of the factors x-1, x+1, and x2+1 all have a degree of 1 so the lowest common multiple is (x1)(x+1)(x2+1)
Result: 
(x1)(x+1)(x2+1)

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