Question

Find the zeros of the function. State the multiplicity of multiple zeros. f(x)=(x-5)^3(x-1)The distinct zeros are _____.

Answer 1

Given:

Expression is

`f(x)=(x-3)^2(x-1)`

Required:

Find zeros of polynomial and multiplicity of zeros.

Step-by-step explanation:

We will find zeros of polynomial by equating f(x) = 0.

That is,

`\begin{gathered} (x-3)^2(x-1)=0 \\ x=3,3,3,1 \end{gathered}`

Answer:

Hence, zeros of function is 3, 1 and multiplicity of 3 equal 3 and 1 equal 1.