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Phoenix [80]
2 years ago
15

Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p

ossible rational zero is an integer . Is your friend correct ? Explain your reasoning.
Mathematics
1 answer:
sammy [17]2 years ago
8 0

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>
  • It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format \frac{p}{q}.

In this problem:

  • The leading coefficient is 1, hence it's only factor is q = 1, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

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