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Select one of the factors of [tex]\(5x^2 + 7x + 2\)[/tex]:

A. (5x + 2)
B. (x + 1)
C. (x + 2)
D. (5x + 1)


Sagot :

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].