**History of Mathematics**

Homework Assignment 5

Prepared by:

Joseph Malkevitch

Department of Mathematics and Computer Studies

York College (CUNY)

Jamaica, New York 11451

1. For each of the choices of f(x) below:

a. Compute f(3) by the usual method and by synthetic division.

b. Compute f(-2) by the usual method and by synthetic division.

c. Compute f(5) by the usual method and synthetic division.

i.

ii.

iii.

iv.

2. List all of the potential roots for the polynomials above when they are set equal to 0.

3. Determine all of the rational roots for the polynomials in parts iii and iv above.