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Transcript
Name _______________________________________ Date __________________ Class __________________
LESSON
6-6
Practice B
Fundamental Theorem of Algebra
Write the simplest polynomial function with the given roots.
1. 1, 4, and 3
2.
________________________________________
3. 2i,
3 , and 4
________________________________________
4.
________________________________________
1
, 5, and 2
2
2 , 5, and 3i
________________________________________
Solve each equation by finding all roots.
5. x 4  2x 3  14x 2  2x  15  0
6. x 4  16  0
________________________________________
7. x 4  4x 3  4x 2  64x  192  0
________________________________________
8. x 3  3x 2  9x  27  0
________________________________________
________________________________________
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).
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
6-44
Holt Algebra 2
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A72
Holt Algebra 2