If f is continuous on [a, b], and f(a) x f(b) < 0 then there exists c E [a, b] such that O a. f(c) = 0 O b. f(c) # 0 O c. f(c) ≤ 0 O d. f(c) ≥ 0

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 14E
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If f is continuous on [a, b], and f(a) x f(b) < 0 then there exists c E [a, b] such that
O a. f(c) = 0
O b. f(c) # 0
O c. f(c) ≤0
O d. f(c) ≥ 0
Transcribed Image Text:If f is continuous on [a, b], and f(a) x f(b) < 0 then there exists c E [a, b] such that O a. f(c) = 0 O b. f(c) # 0 O c. f(c) ≤0 O d. f(c) ≥ 0
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