Use the Intermediate Value Theorem for Polynomials to Show That $$f ( x ) = 5 x ^ { 4 } + 2 x ^ { 3 } + 10 x - 4 ; - 2 \text { and } - 1$$

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the
numbers given.
- $$f ( x ) = 5 x ^ { 4 } + 2 x ^ { 3 } + 10 x - 4 ; - 2 \text { and } - 1$$

A) $f ( - 2 ) = - 40$ and $f ( - 1 ) = - 11$
B) $\mathrm { f } ( - 2 ) = - 40$ and $\mathrm { f } ( - 1 ) = 11$
C) $\mathrm { f } ( - 2 ) = 40$ and $f ( - 1 ) = - 11$
D) $f ( - 2 ) = 41$ and $f ( - 1 ) = - 10$

Correct Answer:

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