Download Finding Complex Solutions of Polynomial Equations

Name _______________________________________ Date __________________ Class __________________
LESSON
8-2
Finding Complex Solutions of Polynomial Equations
Write Polynomial Functions and Models
Write the simplest polynomial function with the given roots.
1. 1, 4, and 3
2.
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1
, 5, and  2
2
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3. 2i, 3, and 4
4.
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2,  5, and  3i
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3
5.  , 6, and  1
4
6. 5i , 2, and 7
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7. i ,  3, and  1
8.. 2i , 4, and 6
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name _______________________________________ Date __________________ Class __________________
Solve.
9. An electrical circuit is designed such that its output voltage, V, measured in
volts, can be either positive or negative. The voltage of the circuit passes
through zero at t  1, 2, and 7 seconds. Write the simplest polynomial
describing the voltage V(t).
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10. For a scientific experiment, Tony needs a glass bell jar in the shape of
a cylinder with a hemisphere on top. The height of the cylinder must be
3 inches longer than its radius, and the volume must be 72 cubic
inches. What should the radius of the cylinder be?
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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