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

its the difference of 2 squares

\[a^2 - b^2 = (a + b)(a - b)\]

Answer 2

so what would I do the figure this out... I'm a little confused on binomials

Answer 3

look carefully at the formula campbell_st wrote out

Answer 4

it might help to rewrite 49 as 7^2

Answer 5

well if you had

\[x^2 - a^2 = (x -a)(x + ?)\]

Answer 6

x-7?

Answer 7

correct

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

Answer 8

Thank you!!

Answer 9

np