Question

check whether x³ - x +1 is a multiple of 2 - 3 x (method)

Answer 1

2-3x=0
-3x=-2
x=2/3   (both the negative signs are cancelled out)
x³-x+1=0
substituting 2/3 in the place of x
(2/3)³-2/3+1=0
8/27-2/3+1=0
8-18+27÷27=0
-10+27÷27=0
17/27≠0
therefore 2-3x is not a multiple of x³-x+1

Answer 2

2-3x=0
-3x=-2
x=2/3   (both the negative signs are cancelled out)
x³-x+1=0
substituting 2/3 in the place of x
(2/3)³-2/3+1=0
8/27-2/3+1=0
8-18+27÷27=0
-10+27÷27=0
17/27≠0
therefore 2-3x is not a multiple of x³-x+1