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NGÔI2 2 A function fis such that f(x)=4²+4² +ar+b. It is given that 2r-1 is a factor of both f(x) and f'(x). (Show that &-2 and find the value of a

NGÔI2 2 A function fis such that f(x)=4²+4² +ar+b. It is given that 2r-1 is a factor of both f(x) and f'(x). (Show that &-2 and find the value of a

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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LYNOMIALS PAPER 5. FACTORS OF POLYNO N2012 2 A function is such that fx)-4r +4²² +ar+b. It is given that 2x-1 is a factor e and f'(x). (1) Show that &-2 and find the value of a. Using the values of a and b from part (i), (ii) find the remainder when f(x) is divided by x + 3, both f(x)
Transcribed Image Text:LYNOMIALS PAPER 5. FACTORS OF POLYNO N2012 2 A function is such that fx)-4r +4²² +ar+b. It is given that 2x-1 is a factor e and f'(x). (1) Show that &-2 and find the value of a. Using the values of a and b from part (i), (ii) find the remainder when f(x) is divided by x + 3, both f(x)
(iii) express f(x) in the form f(x)=(2x-1)(px² + qx+r), where p, q and r are integers to be found, (iv) find the values of x for which f(x)=0. VENT
Transcribed Image Text:(iii) express f(x) in the form f(x)=(2x-1)(px² + qx+r), where p, q and r are integers to be found, (iv) find the values of x for which f(x)=0. VENT
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