Factor completely

6n2 - 11n - 10

Step-1 : Multiply the coefficient of the first term by the constant 6 • - 10 = - 60

Step-2 : Find two factors of - 60 whose sum equals the coefficient of the middle term, which is - 11.

-60 + 1 = - 59

-30 + 2 = - 28

-20 + 3 = - 17

-15 + 4 = - 11 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 15 and 4

6n2 - 15n + 4n - 10

Step-4 : Add up the first 2 terms, pulling out like factors:

3n • (2n-5)

Add up the last 2 terms, pulling out common factors:

2 • (2n-5)

Step-5 : Add up the four terms of step 4:

(3n+2) • (2n-5)

Which is the desired factorization

Final result:

(2n - 5) • (3n + 2)