Subtract - 7x + 6 from – 2x2 + 9x -2

2x+8

Step-by-step explanation:

I actually did the math

it might be −2⋅(x+1)⋅(x−2)

Step-by-step explanation:

(1): "x2"   was replaced by   "x^2".

(6 - 7x) -  2x2) +  9x) -  2

Pull out like factors :

-2x2 + 2x + 4  =   -2 • (x2 - x - 2)

Factoring  x2 - x - 2

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2

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

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -1 .

     -2    +    1    =    -1    That's it

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

                    x2 - 2x + 1x - 2

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

                   x • (x-2)

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

                    1 • (x-2)

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

                   (x+1)  •  (x-2)

            Which is the desired factorization

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step-by-step explanation: