|
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,
at most,
n
real zeros. |
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
has, at least, one real zero. |
Get these in your
head!
No room?
Who starred in The
Terminator?
OK, forget that -- now
you have room!
|
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and distribution and/or downloading of these lessons is strictly
prohibited. |
|