Step-1 : Multiply the coefficient of the first term by the constant 6 • -1 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + 1 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
6y2 - 6y + 1y - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
6y • (y-1)
Add up the last 2 terms, pulling out common factors :
1 • (y-1)
Step-5 : Add up the four terms of step 4 :
(6y+1) • (y-1)
Which is the desired factorization
Final result :
(y - 1) • (6y + 1)
