SOLUTION: Find the quotient and remainder of f(x) = x3 -4x2 +5x +5 divided by p(x) = x-1 please show me how you did this. Thank you

 divided by p(x) = x-1



Remember basic arithmetic:  Dividend = Divisor  x Quotient + Remainder

    

  If we apply this to synthetic division, we get the following result:



Use Synthetic Division to divide polynomials: 





   1|      1   -4    5   5 

                1   -3   2  

            ______________

            1   -3   2  7



   Quotient           Reminder

               7



The correct form of the answer synthetic division is 

    





Or you can use long method of dividing: 



                  x^2 - 3x + 2

            _____________________

     x - 1  /x^3 -4x^2 +5x +5 

             x^3 - x^2

                 -3x^2 + 5x

                 -3x^2 + 3x 

                         2x + 5

                         2x - 2 

                             7  --------->Reminder

   

The correct form of the answer using the long dividion is