SOLUTION: use synthetic division: Problem: x(to the third) -2x(squared) -x +2 divided by x-2 the answer I got was: x(squared) + x +4/x-2 but i'm not sure if I did it right, please

Algebra ->  Rational-functions -> SOLUTION: use synthetic division: Problem: x(to the third) -2x(squared) -x +2 divided by x-2 the answer I got was: x(squared) + x +4/x-2 but i'm not sure if I did it right, please       Log On


   



Question 61752: use synthetic division:
Problem: x(to the third) -2x(squared) -x +2 divided by x-2
the answer I got was:
x(squared) + x +4/x-2
but i'm not sure if I did it right, please help!

Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
use synthetic division:
Problem: x(to the third) -2x(squared) -x +2 divided by x-2
---------------
2 ) 1 -2 -1 2
1 0 -1 0
This shows the polynomial factors
as (x-2)(x^2-1)
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-2x^2-x +2 divided by x-2
2|1 -2 -1 2
.|___2__0_-2_
''1 0 -1 0
Therefore, the solution is x^2+0x-1=highlight%28x%5E2-1%29
:
Happy Calculating!!!