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Coolmath Algebra
Graphing Polynomials Lesson 4 - Important Rules About Zeros
(page 2 of 3)
---- This algebra lesson explains some important rules about zeros (where graphs touch or cross the x-axis).

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What about a 3rd degree polynomial that...

touches the x-axis 3 times?

graph of a 3rd degree polynomial that touches the x-axis 3 times

touches the x-axis twice?

graph of a 3rd degree polynomial that touches the x-axis twice

touches the x-axis once?

graph of a 3rd degree polynomial that touches the x-axis once

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

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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