Question

A binomial has been partially factored, as shown below:

Answer 1

Answer: $(x-7)$

Step-by-step explanation:

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

$x^2-49=(x+7)(_)$

We know that an identity in algebra says that

$a^2-b^2=(a+b)(a-b)$

In the given binomial , a= x and b= $\sqrt{49}=7$

Therefore,  $x^2-49=x^2-(7)^2=(x+7)(x-7)$

Hence, $(x-7)$ is the binomial represents the missing factor.

Answer 2

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