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What about a 3rd degree polynomial
that...
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touches the x-axis 3 times? |
 |
| touches the
x-axis twice? |
 |
| touches the
x-axis once? |
 |
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never touches
the x-axis? |
Nope!
Since the tails
go off in opposite directions. |
YOUR TURN:
Can you draw a 4th degree
polynomial that...
touches the x-axis 4 times?
touches the x-axis 3 times?
touches the x-axis 2 times?
touches the x-axis 1 time?
never touches the x-axis?
Continued on the
next
page
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