Factor 20x2 + 25x – 12x – 15 by grouping. 1. group terms with common factors. 2. factor the gcf from each group. 3. write the polynomial as a product of binomials.

Step 1:

(((22•5x2) + 25x) - 12x) - 15)))


The first term is,  20x2  its coefficient is  20 .
The middle term is,  +13x  its coefficient is  13 .
The last term, "the constant", is  -15


step 2 above,  -12  and  25 
                     20x2 - 12x + 25x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :
                    4x • (5x-3)
              Add up the last 2 terms, pulling out common factors :
                    5 • (5x-3)
Step-5 : Add up the four terms of step 4 :
                    (4x+5)  •  (5x-3)
             Which is the desired factorizationFinal result : (5x - 3) • (4x + 5)