F(x) = (x - 2) ^(2)(x + 3)(x + 1)^(2)the multiplicity of the root x=2 is...?

Question

`f(x) = (x - 2) ^(2)(x + 3)(x + 1)^(2)`the multiplicity of the root x=2 is...?

Answer 1

The solution of the factor with power 2 in the function f(x) can be found as:

(x-2)=0

x=2.

So, the root is x=2.

The multiplicity is the power of the factor (x-2) with its root given as x=2.

So, the multiplicity of the root x=2 is 2.