# How to convert polynomial to matrix?

by m2006
Tags: convert, matrix, polynomial
 P: 3 Can you be more specific about what you are trying to do? If you were to choose a basis for the space of fourth degree polynomials, like $$\{ 1,x,x^2,x^3,x^4 \}$$, then it is possible to represent a polynomial as an element of this vector space by a coefficient matrix. For example, $$3x^4-2x^2+5 \mapsto \left[5,0,-2,0,3 \right]$$. This is not a 4x4 matrix like you are looking for, but it is a representation of the polynomial as a matrix. If you are more specific about what you are trying to do, maybe I can offer more insight, although I am not sure if what you want can be done.