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

8

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

x - 5

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