6.2.2 Fundamental Theorem of Algebra - Worksheet
Example 1: Write the simplest polynomial function with the given zeros. 1. 1 3 ,1, 2 2. − 2, 2, 3
1 2
3. − 2,
, 2
Example 2: Solve each equation by finding all roots. 4. x 4 − 81 = 0
5. 3 x 3 − 10 x 2 + 10 x − 4 = 0
6. x 3 − 3 x 2 + 4 x − 12 = 0
Example 3: Write the simplest polynomial function with the given zeros. 7. 1 − i and 2 8. + 1 5 and 3
9. i 2 , 2, and 2
Example 4: 10. A grain silo is shaped like a cylinder with a cone-shaped top. The cylinder is 30 feet tall. The volume of the silo is 1152 π cubic feet. Find the radius of the silo.
x
x
30 ft
63
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