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To graph the roots of a polynomial, first you must find one root. You only need one! Plot this root on the graph, draw a circle around the origin touching the root (now a point on your circle), and figure out how many degrees apart each root is using this formula:
The roots will be evenly spaced along the edge of this circle!
Remember: The number of roots is the power of the polynomial!
What is the spacing in polar coordinates between the roots of the polynomial
- How many roots does
- Calculate the roots of
x10=1and represent them graphically.
How many roots does
Calculate the roots of
x4=16and represent them graphically.
Describe how to represent the roots of
x6=1graphically without first solving the equation.
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