To factor the quadratic expression [tex]\(5x^2 + 7x + 2\)[/tex], let's look at the result of factorization which we have already determined.
The polynomial [tex]\(5x^2 + 7x + 2\)[/tex] can be factored as:
[tex]\[ 5x^2 + 7x + 2 = (x + 1)(5x + 2) \][/tex]
This means it can be expressed as a product of two binomials. The factors here are:
1. [tex]\(x + 1\)[/tex]
2. [tex]\(5x + 2\)[/tex]
So, one of the factors of [tex]\(5x^2 + 7x + 2\)[/tex] is [tex]\(x + 1\)[/tex].
