The factor of the expression
is
To answer the question, we need to know what factorization is
<h3>What is factorization?</h3>
Factorization is the process of breaking down an expressing into a simpler form containing its factors.
Since

Since
is common, we factor it out. So, we have

Expanding the bracket, we have

So, the factor of the expression
is
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Answer:

Step-by-step explanation:
Given that f(x) is a polynomial function.
This implies that f(x) has x terms of positive integral degrees and also rational coefficients only.
Since an irrational root is given a root of f(x), we find that its conjugate also should be a root of f(x)
i.e. If
is a root, then
is also a root.
(Because this only when multiplied will make coefficients rational)
So the factors of f(x) should be atleast

There can be other factors also but this is compulsory