Curated OER
Roots, Multiplicities, and Factoring Polynomials
For this polynomials worksheet, students find zeros, state multiplicities, and factor twenty-two polynomials. Students then find a polynomials that satisfies the stated conditions in eighteen problems, Finally, students factor...
National Council of Teachers of Mathematics
The Math Forum: Nctm: Ask Dr. Math: Zeros of Polynomials
Math Forum offers an example of how to find the zeros of a polynomial equation.
Wolfram Research
Wolfram Math World: Polynomial Roots
This site from MathWorld discusses the roots of polynomial equations. The site is wonderful in the sense that it gives a few examples to follow the somewhat ambiguous Vieta's theorem. Theorems discussed and applied are the fundamental...
Texas Instruments
Texas Instruments: Solving Equations
Learn to use the TI-86 to solve many types of equations by following this lesson plan and activity. Included are keystroke instructions and calculator screenprints to guide students.
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Polynomials
An introduction to the graphs of polynomial functions by looking at the roots of the polynomials, or where it crosses the x-axis. Includes links to pictures of graphs and detailed explanations.
Paul Dawkins
Paul's Online Notes: Algebra: Polynomial Functions
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Multiple Roots
Here is a site that clearly and thoroughly explains the graphs of polynomials with multiple roots. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Math Is Fun
Math Is Fun: Polynomials: Bounds on Zeros
A tutorial about polynomials with bounds on zeros.
Sophia Learning
Sophia: Zeros and Their Multiplicities: Lesson 1
This lesson demonstrates how to use factoring to find the zeros of a polynomial function, and explains how to tell if a particular zero occurs more than once. It is 1 of 6 in the series titled "Zeros and Their Multiplicities." Includes...
Purple Math
Purplemath: Finding Quadratics From Their Zeroes
Students often have difficulty "working backwards" from the solution of a problem to its original question. Finding a polynomial, given its roots, is an example of a "working backwards" problem. Here are several examples using different...