Question 864306
y=x^3-1 and y=-x^2 -2x -1
set them equal and solve for x then plug in your x and find y
x^3-1 =-x^2 -2x -1
x^3-1+x^2 +2x +1=0
x^3+x^2+2x =0
the constant=0 therefore the factor is 0
factor out x
x=0 plug in 0 and find y=-1
one real solution
x = 0,   y = -1
x^2+x +2=0
solve for the two complex solutions

{{{ graph( 300, 200, -6, 5, -10, 10, x^3-1 ,-x^2 -2x -1) }}}