Question

A binomial has been partially factored, as shown below:

x2 − 25 = (x + 5)(_____)

Which of the following binomials represents the missing factor?

(x − 5)
(x + 5)
(x − 20)
(x + 20)

Answer 1

`x^2-25=(x+5)(x-5)`
Answer: (x-5).

Answer 2

option (A) is correct that is
`(x-5)`.

Explanation:

The given binomial expression is given as:

`x^2-25`

We have to partially factorize it, therefore

`x^2-25=(x+5)(x-5)`

Hence, from all the options given, the missing factor of the given expression is
`(x-5)`.

Thus, option (A) is correct that is
`(x-5)`.