Question

the root x=1 hs multiplicity 2 for the function f(x)=x^3-x^2-x+1 true or false

Answer 1

True

To know the multiplicity of the given root, we will need to factrorize the given polynomial

Factorizing the polynomial, we have;

$x^3-x^2-x\text{ + 1 = }(x-1)(x-1)(x+1)$

The root x = 1 can be expressed as (x-1) when factoring

From what we see, we can see that it occurred two times and that means the multiplicity is 2. So our answer is true