Question

divide p(x) by g(x) where p(x)=x+3x²-1and g(x)=1+x

Answer 1

p(x) = 3x²+x-1
g(x) = x+1

x+1)3x²+ x -1(3x-2
3x²+ 3x
(-). (-)
____________
-2x -1
-2x -1
(+). (+)
____________
0

so remainder = r(x) = 0
base = q(x) = 3x-2