1. Algebraically check if the following polynomial function has a point of symmetry at (0, 0) or a line of symmetry at x = 0 (state your answer with a reason) f(x)=2x²(1-x¹)(2-x²)
1. Algebraically check if the following polynomial function has a point of symmetry at (0, 0) or a line of symmetry at x = 0 (state your answer with a reason) f(x)=2x²(1-x¹)(2-x²)
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:1. Algebraically check if the following polynomial function has a point of symmetry at (0, 0) or a
line of symmetry at x = 0 (state your answer with a reason)
f(x)=2x²(1-x¹)(2-x²)
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