Use the Intermediate Value Theorem to show that the polynomial f(x) =x° +x - 2x + 12 has a real zero between - 5 and - 1. .... Select the correct choice below and fill in the answer boxes to complete your choice. A. Because f(x) is a polynomial with f(- 5) = <0 and f( - 1)= > 0, the function has a real zero between - 5 and - 1. B. Because f(x) is a polynomial with f( - 5) = >0 and f( - 1)= < 0, the function has a real zero between - 5 and - 1. O C. Because f(x) is a polynomial with f( - 5) = <0 and f( - 1) = <0, the function has a real zero between - 5 and - 1. O D. Because f(x) is a polynomial with f( – 5) =| >0 and f( - 1)= >0, the function has a real zero between - 5 and - 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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Use the Intermediate Value Theorem to show that the polynomial f(x) = x° +x - 2x + 12 has a real zero between - 5 and - 1.
...
Select the correct choice below and fill in the answer boxes to complete your choice.
O A. Because f(x) is a polynomial with f( - 5) =
< 0 and f( - 1)=
> 0, the function has a real zero between - 5 and
- 1.
O B. Because f(x) is a polynomial with f( - 5) =
>0 and f( - 1)=
< 0, the function has a real zero between - 5 and
- 1.
O C. Because f(x) is a polynomial with f( - 5) =
< 0 and f( - 1)=
< 0, the function has a real zero between - 5 and - 1.
O D. Because f(x) is a polynomial with f( - 5) =
>0 and f( - 1) =
> 0, the function has a real zero between - 5 and - 1.
Transcribed Image Text:3 Use the Intermediate Value Theorem to show that the polynomial f(x) = x° +x - 2x + 12 has a real zero between - 5 and - 1. ... Select the correct choice below and fill in the answer boxes to complete your choice. O A. Because f(x) is a polynomial with f( - 5) = < 0 and f( - 1)= > 0, the function has a real zero between - 5 and - 1. O B. Because f(x) is a polynomial with f( - 5) = >0 and f( - 1)= < 0, the function has a real zero between - 5 and - 1. O C. Because f(x) is a polynomial with f( - 5) = < 0 and f( - 1)= < 0, the function has a real zero between - 5 and - 1. O D. Because f(x) is a polynomial with f( - 5) = >0 and f( - 1) = > 0, the function has a real zero between - 5 and - 1.
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