Question

The root x = 1 has multiplicity 2 for the function

f(x)= x^3 - x^2 - x + 1

A. True
B. False

I think it is True

Answer 1

How many times can you factor out x-1 from the expression?

Answer 2

f(x)= x^3 - x^2 - x + 1
= x^2(x - 1) - (x - 1)
= (x^2 - 1)(x - 1)
= (x + 1)(x - 1)(x - 1)