Question

Factorise 3

2 + 11 + 6​

Answer 1

Answer:

2+11+6=2+3+3+3+4+3+3

Answer 2

Equation at the end of step 1

 (3x2 -  11x) +  6  = 0  

STEP  2 :

Trying to factor by splitting the middle term

2.1     Factoring  3x2-11x+6  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -11x  its coefficient is  -11 .

The last term, "the constant", is  +6  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 6 = 18  

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   -11 .

     -18    +    -1    =    -19  

     -9    +    -2    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  -2  

                    3x2 - 9x - 2x - 6

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

                   3x • (x-3)

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

                   2 • (x-3)

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

                   (3x-2)  •  (x-3)

            Which is the desired factorization