# How do you factor  x^2 - 10x + 9?

Jun 30, 2016

$\left(x - 9\right) \left(x - 1\right)$

#### Explanation:

Find the factors of 9 which ADD (because of the + sign) up to 10.

The signs in the brackets will be the SAME (because of the + sign), they will both be NEGATIVE. (because of the minus 10)

now: $1 \times 9 = 9 \mathmr{and} 1 + 9 = 10$,

so the required factors of 9 are 1 and 9.

$\left(x - 9\right) \left(x - 1\right)$