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

1 Answer
Jun 30, 2016

#(x-9)(x-1)#

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 xx 9 = 9 and 1 + 9 = 10#,

so the required factors of 9 are 1 and 9.

#(x-9)(x-1)#