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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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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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