Question

Find using synthetic division.

Answer 1

x² + 13x + 50 +
`(57)/(x-5)`

Explanation:

Using Synthetic division

divisor is (x - 5) , thus evaluate at h = 5

5 | 1 8 - 25 - 193

5 65 250

-----------------------------

1 13 50 57 ← remainder = 57

The coefficients of the quotient are 1, 13, 50 , that is

x² + 13x + 50

Thus

`(x^3+8x^2-25x-193)/(x-5)` = x² + 13x + 50 +
`(57)/(x-5)`