Question

Plzz solve this Factorise 2x^(3)-11x^(2)+17x-6 using factor theorem.​

plss make it fasstttt

Answer 1

Answer:

Factoring  2x2-5x+2  

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

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +2  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 2 = 4  

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   -5 .

     -4    +    -1    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  -1  

                    2x2 - 4x - 1x - 2

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 :

                    1 • (x-2)

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

                   (2x-1)  •  (x-2)

            Which is the desired factorization

Final result :

 (x - 2) • (2x - 1) • (x - 3)