Suppose T: P2 → P3 where T(-x² + x + 1) = 4x³ T(x − 1) = 2x³ + 4x² and T(2x² + x + 1) = 2x³ 2x² + 3x + 4, 3x + 3. 3x² + 2x Then T(12x² + (3)x+ (−3)) = | x³+ 4. x²+ x+
Suppose T: P2 → P3 where T(-x² + x + 1) = 4x³ T(x − 1) = 2x³ + 4x² and T(2x² + x + 1) = 2x³ 2x² + 3x + 4, 3x + 3. 3x² + 2x Then T(12x² + (3)x+ (−3)) = | x³+ 4. x²+ x+
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose T: P₂ → P3 where
T(-x² + x + 1) = 4x³ − 2x² + 3x + 4,
T(x − 1) = 2x³+4x².
3x + 3,
and
T(2x² + x + 1) = 2x³ 3x² + 2x - 4.
Then
T(12r² + (3)x+ (−3)) =
³+
²+
|+2
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