Stacie Worsley
2021-12-07
Neunassauk8
Beginner2021-12-08Added 30 answers
Step 1
Given polynomial is .
To fully factor the polynomial, locate each of its zeros, and establish multiplicity.
Solution:
We have identity,
Factorizing the given polynomial.
Factorization of the given polynomial is .
Step 2
Now locate the polynomial's zeros.
Zero product rule says that if a·b=0 then either a=0 or b=0.
So, we will have:
or (2x+3)=0 or (2x-3)=0
or 2x=-3 or 2x=3
Therefore, zeroes of the polynomial are .
Step 3
The number of zero repetitions in a factor is known as the multiplicity of zeroes.
Here, we can find that all the zeroes occurs for only time.
Hence, multiplicity of all the zeroes is one.
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