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k a) The cubic polynomi al flx) = 2x° +tkx*+5x +3 , where is real , has a factor C2x1). Find the possible value cs) of k. Hence write fo) as a product of real factors. and

k a) The cubic polynomi al flx) = 2x° +tkx*+5x +3 , where is real , has a factor C2x1). Find the possible value cs) of k. Hence write fo) as a product of real factors. and

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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3. a) The cubic pdynomial flx) = 2x² +kx²+5x +3 , where is real , has a factor C2x+1). Find the possible value Cs) of k. Hence write foo as a product of real factors. b) The polynomi al Plx) = x*+mx²+ 42x²+nx +65, where m and n are real, has zeros 3+2i and 1-i. %3D :) Write Plx) as a product of two quadratics. ii) Hence, determine the valves of m and n.
Transcribed Image Text:3. a) The cubic pdynomial flx) = 2x² +kx²+5x +3 , where is real , has a factor C2x+1). Find the possible value Cs) of k. Hence write foo as a product of real factors. b) The polynomi al Plx) = x*+mx²+ 42x²+nx +65, where m and n are real, has zeros 3+2i and 1-i. %3D :) Write Plx) as a product of two quadratics. ii) Hence, determine the valves of m and n.
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