Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. (1,2),(2,1),(3,3),(6,1)(1,2),(2,1),(3,3),(6,1).

Annette Arroyo

Annette Arroyo

Answered question

2020-11-09

Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. (1,2),(2,1),(3,3),(6,1)(1,2),(2,1),(3,3),(6,1).

Answer & Explanation

jlo2niT

jlo2niT

Skilled2020-11-10Added 96 answers

Step 1
With x1=1,x2=2,x3=3 and x4=6, the Langrange interpolating polynomials give
p1(x)=(xx2)(xx3)(xx4)(x1x2)(x1x3)(x1x4)
=(x2)(x3)(x6)(12)(13)(16)
=(x25x+6)(x6)(1)(2)(5)
=x36x25x2+30x+6x3610

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