kendang

07-26-2011, 02:46 AM

Question:

The finite difference of a polynomial function, whose leading coefficient is a whole number, is 144. What can the possible degrees and leading coefficients of this function be? Justify your answer with appropriate calculations and a brief explanation.

From what I know:

A polynomial function is in the form of y=ax^n+b[/*:m:kotsojkk]

Finite difference are difference from the "y" values when x is subbed into "f(x"), which is given as: 144.[/*:m:kotsojkk]

The "a" value is a whole number.[/*:m:kotsojkk]

How can I find suitable degrees and leading coefficients when I do not know function?

The finite difference of a polynomial function, whose leading coefficient is a whole number, is 144. What can the possible degrees and leading coefficients of this function be? Justify your answer with appropriate calculations and a brief explanation.

From what I know:

A polynomial function is in the form of y=ax^n+b[/*:m:kotsojkk]

Finite difference are difference from the "y" values when x is subbed into "f(x"), which is given as: 144.[/*:m:kotsojkk]

The "a" value is a whole number.[/*:m:kotsojkk]

How can I find suitable degrees and leading coefficients when I do not know function?