Question

middle term split
2x^2-7x+6

Answer 1

Answer:

2x^2 - 4x - 3x + 6

2x ( x - 2 ) - 3 ( x - 2 )

( x - 2 ) ( 2x - 3 )

hope it helps

Answer 2

Step-by-step explanation:

7x-6-2x2 

Final result :

(2 - x) • (2x - 3)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(7x - 6) - 2x2

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -2x2 + 7x - 6  =   -1 • (2x2 - 7x + 6) 

Trying to factor by splitting the middle term

 3.2     Factoring  2x2 - 7x + 6 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -7x  its coefficient is  -7 .

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

Step-1 : Multiply the coefficient of the first term by the constant   2 • 6 = 12 

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   -7 .

     -12   +   -1   =   -13     -6   +   -2   =   -8     -4   +   -3   =   -7   That's it

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

                     2x2 - 4x - 3x - 6

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

                    2x • (x-2)

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

                    3 • (x-2)

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

                    (2x-3)  •  (x-2)

             Which is the desired factorization

Final result :

(2 - x) • (2x - 3)