Discovery Education
Discovery Education: Web Math: Divide Two Polynomials
This WebMath site will tell you the answer to the division of two polynomials. Great for checking your answers.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Degree of a Polynomial
Find a quick, concise explanation of how to find the degree of a polynomial. Examples are given and clearly explained for how to find the degree of both a monomial and polynomial after it has been simplified.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Dividing Polynomials
Find a quick, concise explanation of how to divide polynomials. Several examples are given and clearly explained.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Long Division of Polynomials
This site is a help letter from a student asking how to divide polynomials. The response to this e-mail also discusses factoring as a method for doing the division.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Degree of a Polynomial
Answer to a question about how to find the degree of a polynomial. The question involves the degree when one of the exponents is negative, as well as a polynomial of two variables.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Zeros and the Fundamental Theorem of Algebra
Twenty-four problems present a variety of practice applying the Rational Zeros Theorem and The Fundamental Theorem of Algebra in different situations. They are given with each step to the solution cleverly revealed one at a time. You can...
Other
Laerd Mathematics: Algebraic Division
This tutorial demonstrates how to use long division with polynomials of various degrees. Includes eight practice problems with detailed solutions provided.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Synthetic Division by X A
Here is a site that clearly and thoroughly explains how to divide a polynomial by a binomial using synthetic division. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
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: Roots/zeroes of a Polynomial
Here is a site that clearly and thoroughly explains how to find the roots, or zeroes, of a polynomial. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Purple Math
Purplemath: Factor Theorem
Purplemath.com discusses the Factor Theorem, explaining its relationship to the Remainder Theorem. The lesson has a link to synthetic division, a key to discovering if a value is a root.
Purple Math
Purplemath: Polynomial Division: Simplification and Reduction
Demonstrates, step-by-step and with worked examples, how to do long division of polynomials.
Cool Math
Coolmath: Dividing by Monomials
This algebra lesson explains how to divide a polynomial by a monomial.
Math Planet
Math Planet: Polynomial Equations in Factored Form
All equations are composed of polynomials. If you know how to solve equations containing polynomials of the first degree, then you can solve equations of higher degree. One way to solve a polynomial equation is to use the zero-product...
Illustrative Mathematics
Illustrative Mathematics: A Apr: Zeroes & Factorization: Non Polynomial
The goal of this task is to show via a concrete example that the property of polynomials is not shared by all functions when zero is involved. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Illustrative Mathematics
Illustrative Mathematics: A Apr the Missing Coefficient
The purpose of this task is to emphasize the use of the Remainder Theorem as a method for determining structure in polynomials in equations, and in this particular instance, as a replacement for division of polynomials. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
In this task, students investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: A apr.b.3 and a apr.b.2: Graphing From Factors Iii
The task has students use the remainder theorem to deduce a linear factor of a cubic polynomial, and then to completely factor the polynomial. Aligns with A-APR.B.3 and A-APR.B.2.
Khan Academy
Khan Academy: Divide Polynomials With Remainders
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
Khan Academy
Khan Academy: Algebra Ii: Remainder Theorem
Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Khan Academy
Khan Academy: Divide Polynomials by Monomials (With Remainders)
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...