Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 3(x + 9)2(x - 9)3

Step-by-step explanation:

The given expression is

From the expression, we observe that has a multiplicity of 2 and has a multiplicity of 3.

So, for the first factor, there's one number that makes such factor equal to zero, and that is -9, because

We know that this factor has a multiplicity of 2, so its zeros are -9 and -9.

We do the same process for

Its multiplicity is 3, so the zeros are 9, 9 and 9.

Therefore, all the zeros of the polynomial function are

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