Now, for two really important things!
So important, in fact, that we call them "theorems."
An
n degree polynomial can cross or
touch the x-axis up to n
times.
Let's rephrase this guy more mathematically:
|
An
n degree polynomial
has, |
Here's the second one:
Remember, that on the odd degree polynomials, the tails always shoot off in opposite directions... Right? So...
Odd degree polynomials
must cross
the x-axis, at least, once.
More mathematically:
|
An odd
degree polynomial |
Get these in your head!
No room?
Who starred in The Terminator?
OK, forget that -- now you have room!