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Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x° + ax² + bx + c, where 1 < a < b < c. What is g(1) in terms of a,b, and c? %3D 1+ a+b+c (4). (B) 1+ a + b+ c 1+a +b+c (C) c2 a +b+c (D) 1+a +b+c (E) a +b+c c2

Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x° + ax² + bx + c, where 1 < a < b < c. What is g(1) in terms of a,b, and c? %3D 1+ a+b+c (4). (B) 1+ a + b+ c 1+a +b+c (C) c2 a +b+c (D) 1+a +b+c (E) a +b+c c2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x* + ax² + bx + c, where 1 < a << b< c. What is g(1) in terms of a,b, and c? 1+a + b+c (A) 1+a+b+c (B) 1+ a + b+c с c2 a +b+c (D) 1+ a +b+c (E) c2 а +b+c
Transcribed Image Text:Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x* + ax² + bx + c, where 1 < a << b< c. What is g(1) in terms of a,b, and c? 1+a + b+c (A) 1+a+b+c (B) 1+ a + b+c с c2 a +b+c (D) 1+ a +b+c (E) c2 а +b+c
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