For the following factored polynomial, find all of the zeros

crealolobk

crealolobk

Answered question

2021-12-14

For the following factored polynomial, find all of the zeros and their multiplicities.
f(x)=(x−5)5(x+1)7

Answer & Explanation

servidopolisxv

servidopolisxv

Beginner2021-12-15Added 27 answers

Step 1
Given,
f(x)=(x−5)5(x+1)7
Step 2
Solving each factor by equating them to zero, we get
x-5=0
x=5
x+1=0
x=1
Step 3
Now the multiplicity of each zero is the number of times that its corresponding factor appears.
Therefore,
The multiplicity of the zero x=5 is 1
And the multiplicity of the zero x=-1 is 1.
Step 4
Answer:
x=5 with multiplicity 1
x=-1 with multiplicity 1

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