Question

7x^2+6x+3,8x^2-4+7, 6x^2-4x+9​

Answer 1

Answer:

x⋅(2x−1)⋅(x+1)⋅(3x−5)

Step-by-step explanation:

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

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

The last term, "the constant", is  -1

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

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

     -2    +    1    =    -1

     -1    +    2    =    1    That's it

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

                    2x2 - 1x + 2x - 1

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

                   x • (2x-1)

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

                    1 • (2x-1)

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

                   (x+1)  •  (2x-1)

            Which is the desired factorization

Final result :

 x • (2x - 1) • (x + 1) • (3x - 5)