IGNOU MPH 14 2026 - Explain why a polynomial is a useful choice for an interpolating funct

Question

Explain why a polynomial is a useful choice for an interpolating function.

19 Jan 2026

Answer :

Word Count : 221

A polynomial is a useful choice for an interpolating function because it has several mathematical properties that make it both flexible and manageable. First, polynomials are continuous and differentiable everywhere, which ensures smooth transitions between data points. This smoothness is crucial when modeling physical phenomena or

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Points	Weights `(C_i)`	Arguments `(x_i`)
1	1.0	0.577
2	1.0	`−0.577`