Using the rational root theorem, it is found that your friend is correct.
What is the rational root theorem?
- 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 possible rational root is the format [tex]\frac{p}{q}[/tex].
In this problem:
- The leading coefficient is 1, hence it's only factor is [tex]q = 1[/tex], 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 https://brainly.com/question/10937559