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Polynomial in Newton form

evinda

Well-known member
MHB Site Helper
Apr 13, 2013
3,720
Hello!!! :)

The interpolating polynomial that interpolates at the following data:
$f(5)=?,f(8)=14,f(12)=214$ is $4,125x^{2}-32,5x+10$.
The corresponding interpolating polynomial in the Newton form is $p_{2}(x)=a_{0}+a_{1}(x-5)+a_{2}(x-5)(x-3)$.Which is the value of $a_{2}$?
Is it 4,125 because the two polynomials should be equal or am I wrong? :confused:
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,780
Hello!!! :)

The interpolating polynomial that interpolates at the following data:
$f(5)=?,f(8)=14,f(12)=214$ is $4,125x^{2}-32,5x+10$.
The corresponding interpolating polynomial in the Newton form is $p_{2}(x)=a_{0}+a_{1}(x-5)+a_{2}(x-5)(x-3)$.Which is the value of $a_{2}$?
Is it 4,125 because the two polynomials should be equal or am I wrong? :confused:
Yep. You are right!! :D
 

evinda

Well-known member
MHB Site Helper
Apr 13, 2013
3,720