MAthh QUEStionnnn dividing polynomials!?

............x^2 + x - 5 REMAINDER 6
........._____________
x - 2 √x^3 - x^2 + 3x - 4
..........x^3 - 2x^2 ...................SUBTRACT
.........._________
.................x^2 + 3x
.................x^2 - 2x ..................SUBTRACT
................._________
........................-5x - 4
........................-5x - 10 ..........SUBTRACT
........................______
.............................. 6 ......... REMAINDER

ANSWER
x^2 + x - 5 REMAINDER 6
or
(x^2 + x - 5) + 6/(x-2)

Quotient is x^2 + x - 5
Remainder is 6

False. Remainder is not -13

false

it doesn't look like it divides evenly

true...