Question 1029886
x^3-x^2+x+1=x^3+x^2+x-1; they intersect where they are both equal
-2x^2=-2
x^2=1
x=+/- 1. When x=-1, y=-2; when x=1, y=2
(1,-2) and (1,2)
Check 
1: 1-1+1+1=2 and that equals  1+1+1-1=2
-1: -1-1-1+1=2 and that equals -1-1+1-1=-2
{{{graph(300,200,-10,10,-10,10,x^3-x^2+x+1,x^3+x^2+x-1)}}}