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Now just as with Example 2.16, prove that if f, g, and three polynomials in R(r], then (f+ g) + h = f + (g %3D proof should invoke the fact that associativity holds in RE

Now just as with Example 2.16, prove that if f, g, and three polynomials in R(r], then (f+ g) + h = f + (g %3D proof should invoke the fact that associativity holds in RE

Advanced Engineering Mathematics
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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abstract algebra

**Exercise 2.17.1** Now just as with Example 2.16, prove that if \( f, g, \) and \( h \) are any three polynomials in \(\mathbb{R}[x]\), then \((f + g) + h = f + (g + h)\). Your proof should invoke the fact that associativity holds in \(\mathbb{R}\).
Transcribed Image Text:**Exercise 2.17.1** Now just as with Example 2.16, prove that if \( f, g, \) and \( h \) are any three polynomials in \(\mathbb{R}[x]\), then \((f + g) + h = f + (g + h)\). Your proof should invoke the fact that associativity holds in \(\mathbb{R}\).
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