Question

Find(x^3+8x^2-25x-193) divide (x-5) by using synthetic division.

Answer 1

Answer:

x^2+13x+40 remainder 7. (or 7/(1-5))

Step-by-step explanation:

Answer 2

Answer:

x² + 13x + 40 + $\frac{7}{x-5}$

Step-by-step explanation:

Using Synthetic division

dividing by ( x - 5) , thus use h = 5

5 |   1    8    - 25    - 193

       ↓    5      65      200

             +       +        +

    ---------------------------------

      1     13      40       7 ← remainder  

quotient = x² + 13x + 40

Thus

$\frac{x^3+8x^2-25x-193}{x-5}$ = x² + 13x + 40 + $\frac{7}{x-5}$