How do you factor 5x^2 - 22x - 15 = 0?

1 Answer
May 25, 2018

(5x+3)(x-5) are the factors

Explanation:

Find factors of 5 and 15 whose products subtract to make 22

" "5" "3" " rarr 1 xx3 = 3
" "1" "5" "rarr 5xx5 = ul25
color(white)(xxxxxxxxxxxxxxxxx) 22

There are the correct factors, now add in the signs to make -22

" "5" "+3" " rarr 1 xx+3 = +3
" "1" "-5" "rarr 5xx-5 = ul(-25)
color(white)(xxxxxxxxxxxx.xxxxxxxx) -22

(5x+3)(x-5) are the factors