Ratio of Areas Of a Quartic Function questions:

Question

anonymous · Answer

attachment

whpalmer4 · Answer

The first part of the problem doesn't quite make sense as written—"show that the coordinates" show that the coordinates what?

anonymous · Answer

Well this is my maths assignment and this questions is based on the diagram in this picture

anonymous · Answer

question*

whpalmer4 · Answer

Ah, without the picture the question doesn't make sense.  It still is a bit ungrammatical even with the picture, but now it is possible to see what they intended :-)

I think someone posted a very similar question the other day that I meant to write a response to, but lost track of the window before I had a chance to do so.  Here's my chance for redemption :-)

Have you tried factoring the polynomial?  I think that will show you the way...

anonymous · Answer

I was a little more unsure about the second question: "Prove your conjecture from above for this family of quartics using algebra". How would I prove it?

whpalmer4 · Answer

Did you factor the polynomial?  What do you get?