Question

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

Answer 1

x² + 13x + 40 +
`(7)/(x-5)`

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

`(x^3+8x^2-25x-193)/(x-5)` = x² + 13x + 40 +
`(7)/(x-5)`

Answer 2

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

Explanation: