Use the Intermediate Value Theorem to show that the polynomial f(x)=x³+x²-2x+17 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) = <0 and f(-2)=>0, the function has a real zero between - 5 and -2. O B. Because f(x) is a polynomial with f(-5) => 0 and f(-2)= >0, the function has a real zero between - 5 and -2. OC. Because f(x) is a polynomial with f(-5) => 0 and f(-2)=<0, the function has a real zero between - 5 and -2. D. Because f(x) is a polynomial with f(-5) = f(-2)= -2. <0 and <0, the function has a real zero between -5 and

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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Use the Intermediate Value Theorem to show that the polynomial
f(x) = x³ + x² - 2x+17 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) = <0 and
f(-2)=>0, the function has a real zero between - 5 and
-2.
OB. Because f(x) is a polynomial with f(-5) => 0 and
f(-2)=>0, the function has a real zero between -5 and
-2.
OC. Because f(x) is a polynomial with f(-5) = >0 and
f(-2)=<0, the function has a real zero between -5 and
-2.
O D. Because f(x) is a polynomial with f(-5) =
f(-2)=
-2.
<0 and
<0, the function has a real zero between -5 and
Transcribed Image Text:Use the Intermediate Value Theorem to show that the polynomial f(x) = x³ + x² - 2x+17 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) = <0 and f(-2)=>0, the function has a real zero between - 5 and -2. OB. Because f(x) is a polynomial with f(-5) => 0 and f(-2)=>0, the function has a real zero between -5 and -2. OC. Because f(x) is a polynomial with f(-5) = >0 and f(-2)=<0, the function has a real zero between -5 and -2. O D. Because f(x) is a polynomial with f(-5) = f(-2)= -2. <0 and <0, the function has a real zero between -5 and
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