***answer asap use synthetic division to solve (x^3-x^2-17x-15)/(x-5)

Step-by-step explanation: Given expression (x^3-x^2-17x-15)/(x-5).

We need to divide it x^3-x^2-17x-15 by x-5 using synthetic division .

In order to solve by synthetic division, we would write all the coefficients of given divisor polynomial:

And we divide them by 5 using synthetic division method.

             ______________          

      5    |     1   -1   -17   -15                       Getting first number down.

            |           5   20   -15                      Multiplying each down number by

           - - - - - - - - - - - - - - - -                    divisor 5.

                  1    4      3       0                     5×1=5  , 5×2=20, 5×2=15

                                                   Subtracting those products from coefficients.

Now, writing the final polynomial degree 1 less than 3, that is 2.

So, would be our quotient.                    

a reflection across the x axis and a 90 degree rotation left and right.