Find the least common multiple of x^{3}-x^{2}+x-1 and x^{2}-1. Write the answer in factored form.

necessaryh 2020-11-12 Answered
Find the least common multiple of x3x2+x1 and x21. Write the answer in factored form.
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yagombyeR
Answered 2020-11-13 Author has 92 answers
Factor the given polynomials:
x3x2+x1=x2(x1)+(x1)
=x(1)(x2+1)
x21=(x(1)(x+1)
The lowest common multiple is the product of all the factors of each polynomial to the highest degree. Each of the factors x1, and x2+1 all have a degree of 1 so the lowest common multiple is (x1)(x+1)(x2+1).
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