What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect? Give your answer as a list of points separated by semicolons. (So "(1,-3); (2,3); (5,-7)" is a valid answer format.)

Answer 1

well, they intersect where f(x) = g(x).

x^3-x^2+x+1 = x^3+x^2+x+1
-x^2 = x^2
x = 0

to check, see

https://www.wolframalpha.com/input/?i=x^3-x^2%2Bx%2B1+%3D+x^3%2Bx^2%2Bx%2B1