Use the Intermediate Value Theorem to show that the polynomial f(x) = x³ + x² - 2x + 10 has a real zero between - 5 and -2. Select the correct choice below and fill in the answer boxes to complete your choice. OA. Because f(x) is a polynomial with f(-5) = O B. Because f(x) is a polynomial with f(-5) = Because f(x) is a polynomial with f(-5) = OC. O D. Because f(x) is a polynomial with f(-5) = <0 and f(-2)= >0 and f(-2)= >0 and f(-2) = <0 and f(-2)= <0, the function has a real zero between 5 and -2. >0, the function has a real zero between -5 and -2. <0, the function has a real zero between - 5 and -2. >0, the function has a real zero between -5 and -2.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 11E
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Use the Intermediate Value Theorem to show that the polynomial

f(x)=x3+x2−2x+10

has a real zero between

−5

and

−2.
Use the Intermediate Value Theorem to show that the polynomial f(x)= x³ + x² - 2x + 10 has a real zero between - 5 and -2.
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) =
Because f(x) is a polynomial with f(-5) =
Because f(x) is a polynomial with f(-5) =
O B.
OC.
O D. Because f(x) is a polynomial with f(-5) =
<0 and f(-2) =
> 0 and f(-2) =
> 0 and f(-2) =
<0 and f(-2) =
<0, the function has a real zero between - 5 and -2.
> 0, the function has a real zero between - 5 and -2.
<0, the function has a real zero between - 5 and -2.
> 0, the function has a real zero between - 5 and -2.
Transcribed Image Text:Use the Intermediate Value Theorem to show that the polynomial f(x)= x³ + x² - 2x + 10 has a real zero between - 5 and -2. 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) = Because f(x) is a polynomial with f(-5) = Because f(x) is a polynomial with f(-5) = O B. OC. O D. Because f(x) is a polynomial with f(-5) = <0 and f(-2) = > 0 and f(-2) = > 0 and f(-2) = <0 and f(-2) = <0, the function has a real zero between - 5 and -2. > 0, the function has a real zero between - 5 and -2. <0, the function has a real zero between - 5 and -2. > 0, the function has a real zero between - 5 and -2.
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