Consider the following statements: 1. The divided differences are symmetrical in their arguments. 2. The n^th divided differences of a polynomial of n^th degree are constant. 3. The divided difference operator is linear. Which of the above statements are correct?

Q65Section I (Objective (Q1–Q80))65 of 80

Numerical Analysis — properties of divided differences

Consider the following statements:

The divided differences are symmetrical in their arguments.
The $n^{\text{th}}$ divided differences of a polynomial of $n^{\text{th}}$ degree are constant.
The divided difference operator is linear.

Which of the above statements are correct?

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