Question

Divide the following polynomials, then place the answer in the proper location on the grid. Use synthetic division. Write the answer in descending powers of x. 5x 2 - 18x -27 ÷ x - 5

Answer 1

Answer:

                 8

5x + 7 + ----------

               x - 5

Step-by-step explanation:

Divide 5x 2 - 18x -27 by x - 5 using synthetic division.  Important:  Please use the symbol " ^ " to denote exponentiation.

Divide 5x^2 - 18x -27 by x - 5 using synthetic division.

Setting up synth. div., we choose the divisor to be 5.  That comes from (x-5)=0.  Then,

5   /    5    -18    -27

                 25    35

    ------------------------

         5        7       8

Because the remainder (8) is not zero, x-5 is not a factor of 5x^2 - 18x -27.

The "answer" is thus:

                 8

5x + 7 + ----------

               x - 5