When the polynomial 3x^2-2x+5 is subracted from product of 2x-5 and 3x+2, the answer is ax^2+bx+c. Find the sum of a+b+c.



First step is to find the sum of 2x - 5 and 3x + 2

             

     (2x - 5) (3x + 2)

      6x^2 -11x - 10



The product minus 3x^2 - 2x + 5



                6x^2 -11x - 10

            -   3x^2 - 2x + 5

              __________________

                3x^2 - 9x - 15



Find the sum of a, b, and c



                     3x^2 - 9x - 15

                     |      |     |

                     a      b     c



            a = 3, b = -9, c = -15

 

           a + b + c = 3 +(-9) + (-15)

                     = 3 - 9 - 15

                     = -21 

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