Math, asked by priyanshisrivastava7, 23 hours ago

12x²+x-6 solve using middle term​

Answers

Answered by aanya4march
0

Answer:

(4x - 3) • (3x + 2)

Step-by-step explanation:

The first term is,  12x2  its coefficient is  12 .

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

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   12 • -6 = -72

Step-2 : Find two factors of  -72  whose sum equals the coefficient of the middle term, which is   -1 .

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  8

                    12x2 - 9x + 8x - 6

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

                   3x • (4x-3)

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

                   2 • (4x-3)

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

                   (3x+2)  •  (4x-3)

            Which is the desired factorization

Final result :

 (4x - 3) • (3x + 2)

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