Approximating Roots of Polynomials

How do you apply the traditional division algorithm to polynomials? Here is an Algebra II instructional activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic...

More than just a worksheet, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear factors. 

Exponents are number 34897 to the power of 0! The short video explains what a power function is. It also demonstrates how to identify the n portion in a standard, fraction, and square root example.

Provides examples and a video lesson that illustrate roots and zeros in polynomial functions. [4:01]

Video lesson using a Maclaurin series to approximate an exponential function by using a polynomial expansion. Provides two different definitions for e. [7:13]

First, review the location principle and then use a table to determine the zeros for the function your trying to solve. This tutorial defines the location principle, works through a table, identifies where sign changes occur, then uses...

The instructor defines a prime polynomial as much the same as a prime number: they only have two factors, 1 and itself. She further demonstrates what a composite polynomial is to give an example of a polynomial that is not prime.

High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

Investigate the Remainder Theorem in this algebra lesson plan. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...

Students learn how to approximate the roots of any polynomial equation of any order by first using tables, and then by tracing along the graph to the point where the curve intersects