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9 Find a, b and c, given that the following pairs of polynomials are identically equal. а ax? + bx + с %3D Зх2 b (a - b)x? + (2a + b)x = 7x – x2, for all x. c a(x - 1)2 + b(x - 1) + c = x², for all x. d a(x + 2)2 + b(x + 3)2 + c(x + 4)² = 2x2 + 8x + 6, for all x. 4x + 1, for all x.

9 Find a, b and c, given that the following pairs of polynomials are identically equal. а ax? + bx + с %3D Зх2 b (a - b)x? + (2a + b)x = 7x – x2, for all x. c a(x - 1)2 + b(x - 1) + c = x², for all x. d a(x + 2)2 + b(x + 3)2 + c(x + 4)² = 2x2 + 8x + 6, for all x. 4x + 1, for all x.

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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9 Find a, b and c, given that the following pairs of polynomials are identically equal. a ax? + bx + c = 3x? b (a - b)x? + (2a + b)x = 7x – x², for all x. c a(x – 1)2 + b(x – 1) + c = x², for all x. d a(x + 2)2 + b(x + 3)² + c(x + 4)2 = 2x2 + 8x + 6, for all x. 4x + 1, for all x. %3D %3D
Transcribed Image Text:9 Find a, b and c, given that the following pairs of polynomials are identically equal. a ax? + bx + c = 3x? b (a - b)x? + (2a + b)x = 7x – x², for all x. c a(x – 1)2 + b(x – 1) + c = x², for all x. d a(x + 2)2 + b(x + 3)² + c(x + 4)2 = 2x2 + 8x + 6, for all x. 4x + 1, for all x. %3D %3D
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