Question

the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?

Answer 1

The multiplicity of the root is 1

Explanation:

Firstly, we need to understand what multiplicity is

By multiplicity, we simply refer to the number of times we have the certain root repeating itself

From the factorization, each of the given roots were only repeated once

That indicates that the given multiplicity is 1