I am trying to summarise the differences between a general quadratic and general cubic. So far i have this:

- A quadratic is not guaranteed to have real roots but a cubic must always have at least one

- A quadratic will always have a turning point but a cubic is not guaranteed to

- A quadratic will never have a point of inflexion but a cubic always will?

Do others agree with this ( particularly the last one) and what other differences are there?

I think there might be something about the shape but i don't know how to summarise it....

Thoughts welcome...