How do you factor the expression x² - 8x + 7?

1 Answer
Apr 16, 2018

x^2-8x+7=(x-1)(x-7)

Explanation:

Consider the given expression:
x^2-8x+7

Use middle term splitting. Choose factors such that their product is +7 and sum (-8).
Thus, we get the numbers (-1) and (-7).
Then,
x^2-x-7x+7
x(x-1)-7(x-1)
(x-1)(x-7)