What is the remainder when 4x3 + 3x2 + 2x 10 is divided by x 1?

Question

What is the remainder when 4x3 + 3x2 + 2x 10 is divided by x 1?

Answer 1

4x^3 +3 x^2 + 2x -10  / x - 1  = 4x^2 + 7x + 9

4x^3 - 4x^2

---------------------

           7x^2 + 2x -10

           7x^2 - 7x

          ---------------------

                       9x - 10

                       9x - 9

                    ---------------

                             -1

 

The reminder is -1