what is the multiplicity of the root x = -4?

See explanation

Explanation:

The multiplicity of  a root of a polynomial equation is the number of times the root repeats.

Let be the root of , then;

has a multiplicity of 1.

has a multiplicity of 2.

has a multiplicity of 3.

has a multiplicity of m, where m is a positive integer.

We were given the root .

If

Then the multiplicity of the root is 1.

If  

Then the multiplicity of the root is 4.

Since the polynomial function or equation is not given in the question, we cannot determine the multiplicity of this root.

But I hope with this explanation, you can refer to the original(complete) question and choose the correct answer.