Question

Select the factors of x2 − 14x + 49.

(x + 49)(x + 1)
(x + 7)(x + 7)
(x − 7)(x − 7)
(x − 49)(x − 1)

Answer 1

The factors of the expression x² - 14x + 49 are (x - 7) (x - 7) .

Explanation:

As given the expression in the question be as follow .

= x² - 14x + 49

This is also written as

= x² - 7x - 7x + 49

= x (x - 7)-7 (x - 7)

= (x - 7) (x - 7)

Therefore the factors of the expression x² - 14x + 49 are (x - 7) (x - 7) .

Answer 2

`x^2-14x+49=x^2-7x-7x+49=x(x-7)-7(x-7)=(x-7)(x-7)`

Other method:


`x^2-14x+49=x^2-2\cdot x\cdot7+7^2=(x-7)^2=(x-7)(x-7)`

Used: (a - b)² = a² - 2ab + b²


Answer: (x - 7)(x - 7)