## anonymous one year ago p(x)=x^3-4x^2+3x+1, q(x)=x^2-2x-4 Find the coordinates of the intersection point of the two curves in QIII. What does this point represent with respect to the equations?

1. anonymous

I think if someone told me how to start it I might be able to finish, but I'm not really sure.

2. anonymous

To find points of intersection just set p(x) = g(x) and solve for x. The point will represent where the two graphs cross each other.

3. anonymous

$x^3-4x^2+3x+1 = x^2-2x-4$ $\rightarrow x^3 - 5x^2 + 5x + 5 = 0$ Factor this and we get $\rightarrow x=−0.598675$ Plug this into p(x) or g(x) to get y -value and that is your point of intersection.

4. anonymous

Thank you so much @arjund12 That was really helpful.