Given the following polynomial and table,

(A) Show that the graph of p(x) passes through each point in the table.

(B) Is p(x) the interpolating polynomial for this table? If not, what is the interpolating polynomial for this table?

(C) Discuss the relationship between the number of points in a table and the degree of the interpolating polynomial for that table.

Transcribed Image Text:

p(x) = x³10x² + 29x - 17 X y 1 3 3 7 6 13