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Given: P(x) = (2x + 5)² – (x – 4)² Q(x) = (3x + 1)(5x – 2) – (3x² – 14x – 5) + (9x² – 1) 1) Show that 3x² – 14x -5 = (3x + 1)(x – 5) 2) Factorize P(x) and Q(x). 3) Solve P(x) = Q(x). XVI. %3D %3D %3D

Given: P(x) = (2x + 5)² – (x – 4)² Q(x) = (3x + 1)(5x – 2) – (3x² – 14x – 5) + (9x² – 1) 1) Show that 3x² – 14x -5 = (3x + 1)(x – 5) 2) Factorize P(x) and Q(x). 3) Solve P(x) = Q(x). XVI. %3D %3D %3D

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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XVI. Given: P(x) = (2x + 5)² – (x – 4)² Q(x) = (3x + 1)(5x – 2) – (3x2 – 14x – 5) + (9x² – 1) 1) Show that 3x2 - 14x -5 = (3x+ 1)(x - 5) 2) Factorize P(x) and Q(x). 3) Solve P(x) = Q(x). %3D %3D %3D 4) Let H (x) = P(x) Q(x) %3D a) Find the domain of definition of H(x). b) Simplify H(x). c) Calculate H(vV3 – 1).
Transcribed Image Text:XVI. Given: P(x) = (2x + 5)² – (x – 4)² Q(x) = (3x + 1)(5x – 2) – (3x2 – 14x – 5) + (9x² – 1) 1) Show that 3x2 - 14x -5 = (3x+ 1)(x - 5) 2) Factorize P(x) and Q(x). 3) Solve P(x) = Q(x). %3D %3D %3D 4) Let H (x) = P(x) Q(x) %3D a) Find the domain of definition of H(x). b) Simplify H(x). c) Calculate H(vV3 – 1).
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