Question

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)

Answer 1

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

Answer 2

Answer:
`(x-7)`

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=
`√(49)=7`

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

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