Higher degree polynomials: y = anx" + an-1xn-1 + an-2xn-2+...+ a₁x + ao, or y = a (x -x₁)(x-x₂)(x-x3)... (x-xn) where a 0. Sketch functions y = a(x-x₁)(x-x₂)(x − x3)... (x - xn) where n=4 and n=5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Higher degree polynomials:
Vestigate and justify your answer.
y = anx" + an-1xn-1 + an-2xn-²+...+ a₁x + ao, or
y = a(x-x₁)(x - x₂)(x-x3)... (x - xn) where a 0.
a) Sketch functions y = a(x -x₁)(x − x₂)(x − x3)... (x − xn) where n-4 and n=5.
C
Transcribed Image Text:2. Higher degree polynomials: Vestigate and justify your answer. y = anx" + an-1xn-1 + an-2xn-²+...+ a₁x + ao, or y = a(x-x₁)(x - x₂)(x-x3)... (x - xn) where a 0. a) Sketch functions y = a(x -x₁)(x − x₂)(x − x3)... (x − xn) where n-4 and n=5. C
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