01204211/activity8 polynomials and graph theory 1

This is part of 01204211-58.

In-class activities

Polynomials

For this set of activities, we shall work modulo 11.

We will use your student ID as a data. For $i=0,...,9$, let $a_{i}$ denote the $i$-th digit (counting from the lest, starting at 0) of your student ID. For example if your student ID is 5755543210, $a_{0}=0$, $a_{2}=2$, $a_{9}=5$, $a_{8}=7$

A.1-1 We shall use your last 4 digits: $a_{0},a_{1},a_{2},a_{3}$. Find a polynomial $f$ of degree 3 such that $f(i)=a_{i}$ for $i=0,\ldots ,3$