Question

What is multiplicity in a polynomial?

Answer 1

Determine the multiplicity in a polynomial.

A multiplicity of a factor is the number of times something appears in the factored version of a polynomial equation.

For example:Consider a polynomial $\mathrm{f}\left(\mathrm{x}\right)=(\mathrm{x}-2{)}^2(\mathrm{x}+1{)}^3(\mathrm{x}-5)$

A zero associated with this component,$x=2$, has multiplicity $2$ since the factor $(x-2)$ appears twice. The $x-$intercept $x=-1$ is the repeated solution of the factor ${(x+1)}^3=0$.