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A binomial has been partially factored, as shown below:

x2 − 49 = (x + 7)(_____)

Which of the following binomials represents the missing factor?

(x + 42)
(x − 42)
(x + 7)
(x − 7)

Respuesta :

Your answer would be (x - 7) in fact (x+7)(x-7) is x^2-49. That's called difference of two binomials.
JeanaShupp

Answer: [tex](x-7)[/tex]

Step-by-step explanation:

Given: A binomial has been partially factored, as shown below:

[tex]x^2-49=(x+7)(_)[/tex]

We know that an identity in algebra says that

[tex]a^2-b^2=(a+b)(a-b)[/tex]

In the given binomial , a= x and b= [tex]\sqrt{49}=7[/tex]

Therefore,  [tex]x^2-49=x^2-(7)^2=(x+7)(x-7)[/tex]

Hence, [tex](x-7)[/tex] is the binomial represents the missing factor.

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