Handout
CK-12 Foundation

Ck 12: Algebra: Factoring Polynomials Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review factoring polynomials. Examples are included.
Unit Plan
Khan Academy

Khan Academy: End Behavior of Polynomials

For Students 9th - 10th Standards
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,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial

For Teachers 9th - 10th Standards
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.
Unknown Type
Khan Academy

Khan Academy: Factor Polynomials: Quadratic Methods (Challenge)

For Students 9th - 10th Standards
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
Unknown Type
Khan Academy

Khan Academy: Factor Polynomials Using Structure

For Students 9th - 10th Standards
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
Unknown Type
Khan Academy

Khan Academy: Divide Polynomials With Remainders

For Students 9th - 10th Standards
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...
Unknown Type
Khan Academy

Khan Academy: Divide Polynomials by Monomials (With Remainders)

For Students 9th - 10th Standards
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...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphs of Polynomials Using Zeros

For Students 11th - 12th Standards
[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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Polynomials Using Transformations

For Students 11th - 12th Standards
[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...
eBook
Math Planet

Math Planet: Monomials and Adding or Subtracting Polynomials

For Students 6th - 8th
Gain an understanding of how to add or subtract polynomials by viewing an example and a video lesson.
Handout
Wolfram Research

Wolfram Math World: Polynomial

For Students 9th - 10th Standards
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.
Handout
Purple Math

Purplemath: Multiplying Simple Polynomials

For Students 9th - 10th Standards
This Purplemath tutorial shows three methods for multiplying polynomials: distribution, FOIL, and columns.
Activity
Other

Oakton: Polynomials

For Students 9th - 10th Standards
This resource provides introductory information dealing with polynomials such as definitions, uses, etc.
Handout
Other

The Data Analysis Brief Book: Orthogonal Polynomials

For Students 9th - 10th
A brief discussion of orthogonal polynomials that gives a couple of examples.
Unit Plan
Math Planet

Math Planet: Factor Polynomials of the Form of X^2 + Bx + C

For Students 9th - 10th
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
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial

For Teachers 9th - 10th Standards
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.
Handout
University of Guelph

University of Guelph: Physics Tutorials: Algebra

For Students 9th - 10th Standards
This site reviews factoring quadratics, factoring higher order polynomials, and partial fractions.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: Building Connections

For Teachers 9th - 10th
In this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
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.
PPT
Sophia Learning

Sophia: Zeros and Their Multiplicities: Lesson 1

For Students 9th - 10th Standards
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...
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 1.1 Zero Product Property

For Students 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A apr.b.3 and a apr.b.2: Graphing From Factors Iii

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii

For Teachers 9th - 10th Standards
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...
Handout
Savvas Learning

Math Captain: End Behavior

For Students 9th - 10th
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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