there is at most one polynomial of degree less than or equal to n_____ option,(a) which interpolated f(x) at (n+1) distinct points x0,X1,....xn (b) which interpolated f(x) at (n-1) distinct points x0,X1,.....xn-1 (c) which interpolated f( x) at n distinct points x0, X1,.....xn-2 (d) which interpolated f(x) at (n-1) distinct points x0, X1,. xn-3
Answers
Step-by-step explanation:
Then, there is a polynomial P(x) of appropriate degree ... function f(x) at n+1 distinct points ... Now we generalize the approach to n+1 points. ▻ Given: ◦ x0, x1,x2,…,xn ... where P(x) is the nth Lagrange interpolating.
Answer:
The Correct Answer would be which interpolated f(x) at (n+1) distinct points x₀,x₁,.......xn. There is at most one polynomial of degree less than or equal to n which interpolated f(x) at (n+1) distinct points x₀,x₁,.......xn.
Step-by-step explanation:
Polynomial interpolation is a way of estimating values among recognized data points. When graphical data includes a gap, however data is to be had on both side of the space or at some particular points in the gap, an estimate of values in the hole may be made via way of means of interpolation.
The best technique of interpolation is to draw straight lines among the recognized data points and don't forget the function because the mixture of these immediately lines. This technique, referred to as linear interpolation, typically introduces tremendous error.
The simplest polynomials have one variable. Polynomials can exist in factored form or written out in full. For example:
(x - 4) (x + 2) (x + 10)
x² + 2 x + 1
3 y³ - 8 y² + 4 y - 2
The value of the biggest exponent is referred to as the degree of the polynomial.