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.

PREALGEBRA
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ISBN:9781938168994
Author:OpenStax
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Chapter10: Polynomials
Section10.1: Add And Subtract Polynomials
Problem 10.3TI: Find the degree of the following polynomials: a. -6y b. 4x-1 c. 3x4+4x28 d. 2y2+3y+9 e. -18
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Part c and d please

 

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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