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Which of the below is a binomial factor of the polynomial [tex]4x^{2} -25[/tex]?
a) (2x+25)
b) (x+5)
c) (2x-5)
d) (4x-5)

Respuesta :

C. (2x - 5)

Explanation:

Given:

The factors of [tex]4x^2 - 25[/tex] = ?

The binomial factor can be simplified and written as

[tex]4x^2 - 25 = (2x + 5) (2x - 5)[/tex]

When these two factors are multiplied then they give 4x² - 25

Thus, (2x + 5) and (2x - 5) are the two factors of 4x² - 25

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