Would be nice to see solution for all, but I especially need help with c) (geogebra part) please. 1) First compute the coefficients of a polynomial of degree three a) plugging in the given points in the general equation of a degree three polynomial leading to a 4 times 4 system of linear equations (with the coefficients of the polynomial as unknows) b) solving this system with Gauss elimination and using this example to explain how Gauss elimination works in general (this should be really explained in detail/ Tutorial like), c) using some computer software (like geogebra) and showing that the computed polynomial contains the given points. Points for given task: A = (-1,-12), B= (2,3) ,C=(1,-4), D=(3,28) a= 1
Would be nice to see solution for all, but I especially need help with c) (geogebra part) please.
1) First compute the coefficients of a polynomial of degree three
a) plugging in the given points in the general equation of a degree three polynomial leading to a 4 times 4 system of linear equations (with the coefficients of the polynomial as unknows)
b) solving this system with Gauss elimination and using this example to explain how Gauss elimination works in general (this should be really explained in detail/ Tutorial like),
c) using some computer software (like geogebra) and showing that the computed polynomial contains the given points.
Points for given task:
A = (-1,-12), B= (2,3) ,C=(1,-4), D=(3,28)
a= 1
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