(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
 ((22•3x2) +  52x) -  9
STEP
2
:
Trying to factor by splitting the middle term
2.1   Factoring  12x2+52x-9 Â
The first term is,  12x2  its coefficient is  12 .
The middle term is,  +52x  its coefficient is  52 .
The last term, "the constant", is  -9 Â
Step-1 : Multiply the coefficient of the first term by the constant  12 • -9 = -108 Â
Step-2 : Find two factors of  -108  whose sum equals the coefficient of the middle term, which is  52 .
   -108   +   1   =   -107 Â
   -54   +   2   =   -52 Â
   -36   +   3   =   -33 Â
   -27   +   4   =   -23 Â
   -18   +   6   =   -12 Â
   -12   +   9   =   -3 Â
   -9   +   12   =   3 Â
   -6   +   18   =   12 Â
   -4   +   27   =   23 Â
   -3   +   36   =   33 Â
   -2   +   54   =   52   That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  54 Â
          12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
          2x • (6x-1)
       Add up the last 2 terms, pulling out common factors :
          9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
          (2x+9)  •  (6x-1)
      Which is the desired factorization
HOPE IT HELPS! :))