Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 2 x ^ { 4 } - 17 x ^ { 3 } + 58 x ^ { 2 } - 77 x + 26 ; \text { zero: } 3 + 2 i$$

question 70

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 2 x ^ { 4 } - 17 x ^ { 3 } + 58 x ^ { 2 } - 77 x + 26 ; \text { zero: } 3 + 2 i$$

• A) \(2 - 3 i , 2 , - \frac { 1 } { 2 }\)
• B) \(3 - 2 i , 2 , \frac { 1 } { 2 }\)
• C) \(2 - 3 \mathrm { i } , - 2 , - \frac { 1 } { 2 }\)
• D) \(3 - 2 \mathrm { i } , - 2 , \frac { 1 } { 2 }\)