Question

Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. Write the answer in factored form.

A. (x + 1)^2(x - 1)

Answer 1

`(x^3-x^2+x-1)(x^2-1)`


`x^5-x^3-x^4+x^2+x^3-x-x^2+1`


`x^5-x^4-x+1`


`x^4(x-1)-(x-1)`


`(x^4-1)(x-1)`