Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((0 -  3x2) -  11x) +  4

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -3x² - 11x + 4  =   -1 • (3x² + 11x - 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  3x² + 11x - 4 

The first term is,  3x²  its coefficient is  3 .
The middle term is,  +11x  its coefficient is  11 .
The last term, "the constant", is  -4 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -4 = -12 

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   11 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  12 
                     3x² - 1x + 12x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (3x-1)
              Add up the last 2 terms, pulling out common factors :
                    4 • (3x-1)
Step-5 : Add up the four terms of step 4 :
                    (x+4)  •  (3x-1)
             Which is the desired factorization

Final result :

  (1 - 3x) • (x + 4)