Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (11x2 -  98x) -  120

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  11x²-98x-120 

The first term is,  11x²  its coefficient is  11 .
The middle term is,  -98x  its coefficient is  -98 .
The last term, "the constant", is  -120 

Step-1 : Multiply the coefficient of the first term by the constant   11 • -120 = -1320 

Step-2 : Find two factors of  -1320  whose sum equals the coefficient of the middle term, which is   -98 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -110  and  12 
                     11x² - 110x + 12x - 120

Step-4 : Add up the first 2 terms, pulling out like factors :
                    11x • (x-10)
              Add up the last 2 terms, pulling out common factors :
                    12 • (x-10)
Step-5 : Add up the four terms of step 4 :
                    (11x+12)  •  (x-10)
             Which is the desired factorization

Final result :

  (x - 10) • (11x + 12)