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According to the fundamental theorem of algebra which polynomial function has exactly 8 roots

According to the fundamental theorem of algebra which polynomial function has exactly-example-1

2 Answers

7 votes

Answer:

Its A on Edge 2020

Explanation:

User Andre Cytryn
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5 votes

Answer:

option A is correct

Explanation:

The number of roots a polynomial has is a factor of the exponent to which it’s highest power is raised

What we are saying here is that the number of roots a polynomial has is equal to the exponent on its highest power

That is why for example a quadratic equation has 2 roots

Now, to get 8 roots, the highest exponent should be 8

After expansion, the first polynomial has a term in the 8th power so it is our answer

The second polynomial, although we have a term in x^4 but it is raised to another 4 which is totally raised to 16 and that cannot be our answer

The correct answer here is the first polynomial

User Dmytro Krasnikov
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