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I know a 5th degree polynomial is like ax^5 + ax^4 + ax^3 + ax^2 + ax + c

Right, and where does a polynomial have a root? When it crosses the 'x-axis' right?

Well "real root" anyways

it is
negative
then positive
then negative
then positive

has a root in between each change in sign
any polynomial is continuous, can't skip numbers

^Indeed
In order to have a real root, we just see how many times the values alternate from - to +

Or + to - of course

So in the table it only flips two time s

Are you sure? Just 2?

well with the numbers given to us at least for p(x)

wows I didnt think of that i was just seeing 2 switches. but didnt think of the change after

I would say that is correct!

Alright, sorry just reviewing some things for my Clep test. I take it on Friday D: