. y = x (x + 2)^2
Find the zeros of each function. State the multiplicity of multiple zeros

Given:

The function is .

To find:

The zeros and their multiplicity.

Solution:

A polynomial is defined as

      ...(i)

where, a is a constant, are zeros with multiplicity respectively.

We have,

It can be written as

         ...(ii)

On comparing (i) and (ii), we get

Therefore, the zeros of the given function are 0 and -2 with multiplicity 1 and 2 respectively.

answer;

the correct answer

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the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.