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Coolmath Algebra
Graphing Polynomials Lesson 4 - Important Rules About Zeros
(page 1 of 3)
---- This algebra lesson explains some important rules about zeros (where graphs touch or cross the x-axis).

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OK!  First of all, a "zero" is where a graph crosses or touches the x-axis.

They're called "zeros" because that's where y = 0 !

graph of the two zeros of a parabola...where the graph crosses the x-axis and where y = 0

graph of a 3rd degree polynomial that touches the x-axis 2 times, or, has two zeros

*Officially, these are called "real zeros".

Here are some questions for you:

Can we draw a parabola (a 2nd degree polynomial) that

touches the x-axis twice?

graph of a 2nd degree polynomial that touches the x-axis twice
touches the x-axis once?

graph of a 2nd degree polynomial that touches the x-axis once
never touches the x-axis?

graph of a 2nd degree polynomial that 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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