How do you factor #15x^{2} - 43x + 22#?

1 Answer
Oct 8, 2016

#(3x-2)(5x-11)#

Explanation:

Find factors of 15 and 22 which add to give 43.
The signs are the same they are both negative.

#15" "22#

#"one factor"rarr" "3" "2" "rarr 5xx2 =10#
#"one factor"rarr" "5" "11" "rarr3xx11 = ul33#
#color(white)(xxxxxxxxxxxxxxxxxxxxxxxxxxxx)43#

#(3x-2)(5x-11)#