Divide using long division:

Question

4x^2-7x-13/(x-2)

Answer 1

A tutor has graciously answered your question, assuming that the polynomial numerator had been enclosed in its own parentheses. This problem is amenable to SYNTHETIC DIVISION, which the tutor did not utilize in the standard way.  

ANSWER is   4x+1 -11/(x-2).  The -11 is the remainder.

In synthetic division, for dividing by "x-c), you put "c" in the slot at the left.  Just c.

In future, please parenthesize correctly because on the WyzAnt platform you do not have the luxury of a long horizontal division line which serves also as a grouping symbol for a numerator, with a denominator written beneath it.

Without the proper parenthesization, the proper PMDAS computing order would not occur.

Answer 2

                         4     1

          __________________

1  -2   |      4     -7  -13

                 4     -8

            -------------------------

                  0    1   -13

                         1    -2

              -------------------

                              -11

 

 

 

Check:  (4x+1)(x-2) - 11 = 4x^2 - 8x + x - 2 - 11

                                      = 4x^2 - 7x -13