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If f(x) is a polynomial of degree <3, f(a) a x-a

If f(x) is a polynomial of degree <3, f(a) a x-a

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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If f(x) is a polynomial of degree <3, prove that f(a) a x-a 1 a a² f(b) 1 b 音悦汁 +1bb² x-b 1 c C² f(c) 1 c X-C (x-a)(x-b)(x-c)
Transcribed Image Text:If f(x) is a polynomial of degree <3, prove that f(a) a x-a 1 a a² f(b) 1 b 音悦汁 +1bb² x-b 1 c C² f(c) 1 c X-C (x-a)(x-b)(x-c)
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