6.2.2 Fundamental Theorem of Algebra - Practice
2. Solve by finding all roots. x 4 − 2 x 3 + x 2 − 8 x − 12 = 0
1. Write the simplest polynomial function that has the given zeros. − 2, 4, 5
4. Write the simplest polynomial function having integer coefficients with the given zeros. 4 i , 3, − 1
3. Write the simplest polynomial function having integer coefficients with the given zeros. − 4,1, 5
5. A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V ( r ) = 8 πr 2 + πr 3 , where r is the radius in feet. For what value of r does the tent have a volume of 311 ft 3 ?
6. A toy is in the form of a cone mounted on a hemisphere. The volume of the toy is modeled by the function π π = + V r r r ( ) , 3 2 , where r is the radius in centimeters. For what value of r does the toy have a volume of 377 cm 3 ? 1 3 4 3
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