Question

= Yo, Find the solution to the interpolation problem of finding a polynomial q(x) with deg(q) < 2 and such that q(xo) q(x1) = yi, and q'(x1) = yi with Xo < X1. Under what exact conditions is deg(q) = 2?

Answer 1

Idea here is we're assuming q(x) to be ax^2+bx+c and then using three given conditions to find a, b, c.

And the condition for deg q(x) to be 2 is a is not equal to 0.

с. and similarly can be found by putting odb in 6 condition for deg q=2 Р since, qcx) = ax'+bx+c. cond" is a to. чу - уход; - чу*+ 23-9, +о. ч + чуу*+ 25, Xo y + 2уу, 1.е.