At how many points do the graph of the equations y = x^3 and y = x^2 + 4x intersect?
+2862 Substitute y
So now you have:
x3=x2+4x
0 = x3 - x2 - 4x
This is a polynomial with a degree of 3, therefore it must have 3 solutions.
If it has 3 solutions, it has 3 intersections in the graph.
+2862 Sorry, I tried to edit my answer, but Web2.0 didn't is glitching or something. I can't publish my answer, it just reverts back.
Just look at EP's answer, that is the correct method.
+36916 x^3 =x^2 +4x
x(x^2-x-4) = 0
x = 0 , 1/2+ - sqrt(17)/2
Three intercepts
