Question

When multiplicity of a polynomial exist?

• A. when a factor appears in conjugate
• B. when a factor appears more than once
• C. when a factor appears more than twice
• D. None of the above

Answer 1

The correct option is B when a factor appears more than once

"multiplicity of a polynomial exist when a factor of a polynomial repeats more than once"

For eg. In the polynomial $(x-2{)}^3(x-3{)}^2(x-1)$

The root $2$ have multiplicity $3$, the root $3$ have $2$, and the root $1$ have $1$

Hence, B is correct.