Let T be a linear transformation from P₂ into P₂ such that T(1) = x, T(x) = 1 + x, and 7(x²) = 1 + x + x². Find 7(2 - 9x + x²). T(2- 9x + x²) =

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let T be a linear transformation from P2 into
P2
T(2 - 9x + x²) =
=
such that T(1)
= x, T(x) = 1 + x, and 7(x²) = 1 + x + x². Find T(2 − 9x + x²).
Transcribed Image Text:Let T be a linear transformation from P2 into P2 T(2 - 9x + x²) = = such that T(1) = x, T(x) = 1 + x, and 7(x²) = 1 + x + x². Find T(2 − 9x + x²).
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