Question

answer my questions please

Answer 1

Answer:

Step-by-step explanation:

  Factoring  2x2-x-1  

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    That's it

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

                    2x2 - 2x + 1x - 1

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

                   2x • (x-1)

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

                    1 • (x-1)

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

                   (2x+1)  •  (x-1)

            Which is the desired factorization

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