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Use the Intermediate Value Theorem to Determine Whether the Polynomial f(x)=6x39x26x+8f ( x ) = 6 x ^ { 3 } - 9 x ^ { 2 } - 6 x + 8

Question 515

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the
given integers.
- f(x) =6x39x26x+8f ( x ) = 6 x ^ { 3 } - 9 x ^ { 2 } - 6 x + 8 ; between 1 and 2


A) f(1) =1f ( 1 ) = - 1 and f(2) =8f ( 2 ) = 8 ; yes
B) f(1) =1f ( 1 ) = 1 and f(2) =8f ( 2 ) = 8 ; no
C) f(1) =1f ( 1 ) = - 1 and f(2) =8f ( 2 ) = - 8 ; no
D) f(1) =1f ( 1 ) = 1 and f(2) =8f ( 2 ) = - 8 ; yes

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