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3. The quadratic functions f and g are defined by f(x) = 4x + p, xeR %3D 8(x) = x +qx+ p, xER where p.q andr are mon-zero constants such that p=-2r and q =-3r. Given that (x+r) is a factor of f and g. Determine the value of p, q and r. Hence, factorise / and g completely. [10 marks] C3, CLO 3, PLO4, PEO 3, MQF LOD 6

3. The quadratic functions f and g are defined by f(x) = 4x + p, xeR %3D 8(x) = x +qx+ p, xER where p.q andr are mon-zero constants such that p=-2r and q =-3r. Given that (x+r) is a factor of f and g. Determine the value of p, q and r. Hence, factorise / and g completely. [10 marks] C3, CLO 3, PLO4, PEO 3, MQF LOD 6

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. The quadratic functions f and g are defined by f(x) = 4x + p, xeR %3D g(x) = x +qx+ p, x€R where p. q and r are non-zero constants such that p=-2r and q=-3r. Given that (x+r)is a factor of f and g. Determine the value of p. q and r. Hence, factorise / and g completely. [10 marks] C3, CLO 3, PLO4, PEO 3, MQF LOD 6
Transcribed Image Text:3. The quadratic functions f and g are defined by f(x) = 4x + p, xeR %3D g(x) = x +qx+ p, x€R where p. q and r are non-zero constants such that p=-2r and q=-3r. Given that (x+r)is a factor of f and g. Determine the value of p. q and r. Hence, factorise / and g completely. [10 marks] C3, CLO 3, PLO4, PEO 3, MQF LOD 6
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