Question
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
:
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:
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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:
-
with multiplicity 3 -
with multiplicity 2
Thus, the zeros of
are: