Suppose f : (a, b) R is continuous at every point in the open Question 3 interval (a, b), and that f(r) # 0 for all a 0 for all r € (a, b) f(r) < 0 for all a € (a, b). or
Suppose f : (a, b) R is continuous at every point in the open Question 3 interval (a, b), and that f(r) # 0 for all a 0 for all r € (a, b) f(r) < 0 for all a € (a, b). or
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 31E
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![Suppose f : (a, b) → R is continuous at every point in the open
Question 3
interval (a, b), and that f(x) +0 for all a < x < b. Show that
f(x) > 0 for all r E (a, b)
f(r) < 0 for all æ E (a, b).
or](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b282ccc-eb55-4aab-b003-59d534380b0e%2F14b5a580-8e12-4328-a2cf-895c0d4cd00e%2F9rabgwa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose f : (a, b) → R is continuous at every point in the open
Question 3
interval (a, b), and that f(x) +0 for all a < x < b. Show that
f(x) > 0 for all r E (a, b)
f(r) < 0 for all æ E (a, b).
or
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