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CK-12 Foundation
Ck 12: Algebra: Factoring Polynomials Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review factoring polynomials. Examples are included.
Khan Academy
Khan Academy: End Behavior of Polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
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.
Khan Academy
Khan Academy: Factor Polynomials: Quadratic Methods (Challenge)
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
Khan Academy
Khan Academy: Factor Polynomials Using Structure
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
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: 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...
CK-12 Foundation
Ck 12: Analysis: Graphs of Polynomials Using Zeros
[Free Registration/Login may be required to access all resource tools.] In this lesson students use ''X'' and ''Y'' intercepts to graph polynomials of 3rd degree or higher. Students examine guided notes, review guided practice, watch...
CK-12 Foundation
Ck 12: Algebra: Graphs of Polynomials Using Transformations
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
Math Planet
Math Planet: Monomials and Adding or Subtracting Polynomials
Gain an understanding of how to add or subtract polynomials by viewing an example and a video lesson.
Wolfram Research
Wolfram Math World: Polynomial
Mathworld.com contains a brief lesson on polynomials. This site explains what it means to be a polynomial in technical terms, gives identities for several special polynomials, and numerous links to related topics and terminology.
Purple Math
Purplemath: Multiplying Simple Polynomials
This Purplemath tutorial shows three methods for multiplying polynomials: distribution, FOIL, and columns.
Other
Oakton: Polynomials
This resource provides introductory information dealing with polynomials such as definitions, uses, etc.
Other
The Data Analysis Brief Book: Orthogonal Polynomials
A brief discussion of orthogonal polynomials that gives a couple of examples.
Math Planet
Math Planet: Factor Polynomials of the Form of X^2 + Bx + C
This resource is about factorizing trinomials of the form x^2+bx+c by making them into a product of two binomials x^2+bx+c=(x+m)(x+n) where m+n=b and m*n=c
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
For 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.
University of Guelph
University of Guelph: Physics Tutorials: Algebra
This site reviews factoring quadratics, factoring higher order polynomials, and partial fractions.
National Council of Teachers of Mathematics
Nctm: Illuminations: Building Connections
In this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Help Algebra
Help algebra.com: Factoring Polynomials
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
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...
CK-12 Foundation
Ck 12: Algebra Ii: 1.1 Zero Product Property
This section explores the process for finding values for x that make polynomial equality true when written in terms of x and set equal to zero.
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Savvas Learning
Math Captain: End Behavior
This site provides an explanation of the end behavior of functions. Covers end behavior as it relates to function models, rules, polynomials, asymptote, functions, and graphs.
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