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Coolmath Algebra
Graphing Polynomials Lesson 7 - Complex Zeros  (page 2 of 4)
---- This algebra lesson explains complex zeros and shows how to find them.

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Solve  x^2 + 4 = 0

Let's use the square root trick!

x^2 = -4 gives sqrt( x^2 ) = +/- sqrt( -4 ) which gives x = +/- 2i

{ -2i , 2i }

When we are graphing these things do not show up on the graph!

But, hey...  when we set something = 0 like

x^2 + 4 = 0

isn't that how we find zeros?  YEP!

These things we just found are complex zeros (versus real zeros that we were finding before.)

So, here's the official scoop on complex zeros:

Complex zeros always occur
in conjugate pairs
 a - bi and a + bi

 

Complex zeros do not show up on graphs!

Continued on the next page

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