# Homework problem

Consider the basis {1, x,(x − 1)^2} for P2 and let F : P2 → P2 be a linear transformation.

Let F(1) = (x + 1)^2, F(x) = x, F((x-1))^2.

Find the rule for F(a x^2 + b x + c).

Homework problem

asked
**
2015-11-08 17:57:28 -0600
**

This post is a wiki. Anyone with karma >750 is welcome to improve it.

Consider the basis {1, x,(x − 1)^2} for P2 and let F : P2 → P2 be a linear transformation.

Let F(1) = (x + 1)^2, F(x) = x, F((x-1))^2.

Find the rule for F(a x^2 + b x + c).

Asked: **
2015-11-08 17:57:28 -0600
**

Seen: **226 times**

Last updated: **Nov 09 '15**

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.

You should at least make

someefforts to make your question intelligible!This looks like homework. If you want some help, you should ask more precise questions related to your research in solving those exercises, especially where you are locked.

More precisely, this question doesn't look like it it related to Sage!