Question

The multiplicity of the root $x=1$ for the function $f\left(x\right)=x^2(x+1{)}^3(x-2{)}^2(x-1)$ is

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $1$

After factorising $f\left(x\right)$, $(x-1)$ is appearing only once

Multiplicity of the root is the number of times a number is zero of a polynomial.

Here $x=1$ is the zero of $f\left(x\right)$ only once as it is appearing one.

So, the multiplicity of the root $x=1$x=1 for the function is one.

Hence, option A is correct.