answer choices: a. (x+1)^2(x1)
b. (x+1)(x1)(x^2+1)
c. (x^3x^2+x1)(x^21)
d. (x+1)(x1)(x^21)
2 Answers

First, factor the polynomials:
x^3x^2+x1 = x^2(x1) + (x1), using grouping.
= (x^2 + 1)(x 1).
x^2 1 = (x – 1)(x + 1).
Finally, the LCM is the product of the list of factors, using commons factors between polynomials once each:
So, LCM = (x^2 + 1)(x – 1)(x + 1), choice b.

b
x^3x^2+x1
=(x1)(x^2+1)
x^21
=(x1)(x+1)
So, the least common multiple is (x1)(x+1)(x^2+1)