Question
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Find the zeros of the function and state the multiplicities.
If there is more than one answer, separate them with commas. Select “None” if applicable.
Part:
Part 1 of 2
The zero(s) of :

Ask by Wade Lee. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The zeros of are (with multiplicity 3) and (with multiplicity 2).

Solution

Factor the given function by first factoring out :
Notice that the quadratic factors as:
Thus,
The zeros of the function are the solutions to:
This gives:
Now, we state the multiplicities:
  • The zero comes from the factor so it has multiplicity 3.
  • The zero comes from the factor so it has multiplicity 2.
Thus, the zero(s) of are:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Beyond the Answer

To find the zeros of the function , we can factor out the common term :
Next, we can factor the quadratic :
So we have:
The zeros are:
  1. with multiplicity 3
  2. with multiplicity 2
Thus, the zeros of are:

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