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Use the Intermediate Value Theorem for Polynomials to Show That f(x)=10x5+3x33x2+6;1f ( x ) = 10 x ^ { 5 } + 3 x ^ { 3 } - 3 x ^ { 2 } + 6 ; - 1

Question 330

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the numbers given.
- f(x) =10x5+3x33x2+6;1f ( x ) = 10 x ^ { 5 } + 3 x ^ { 3 } - 3 x ^ { 2 } + 6 ; - 1 and 0


A) f(1) =10f ( - 1 ) = - 10 and f(0) =6f ( 0 ) = 6
B) f(1) =10f ( - 1 ) = 10 and f(0) =6f ( 0 ) = 6
C) f(1) =9f ( - 1 ) = - 9 and f(0) =7f ( 0 ) = 7
D) f(1) =10f ( - 1 ) = 10 and f(0) =6f ( 0 ) = - 6

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