# Polynomial Expressions and Equations

**Review: Expressions, Equations, and Functions**

**Explanation:**Khan video: What is a function? (optional)

Khan video: Equations vs. functions: Obtaining a function from an equation

Khan video: Worked example: Evaluating functions from equation

Khan video: Worked example: matching an input to a function's output (equation)

Khan video: Worked example: evaluating functions from graph

Khan video: Worked example: matching an input to a function's output (graph)

Khan video: Function notation word problem: bank (honors)

Khan video: Function notation word problem: beach (honors)

**Practice problems**Desmos activity: Carnival Functions, Part 2 (teacher use)

Khan exercise: Evaluate functions

Khan exercise: Function inputs & outputs: equation

Khan exercise: Evaluate functions from their graph

Khan exercise: Function inputs & outputs: graph

Khan exercise: Function notation word problems (honors)

**1.1 Introduction to Polynomials**

**Explanation:**Notes | Annotated

Khan video: Polynomials intro (10:47)

Khan video: The parts of polynomial expressions (2:35)

**Practice Problems:**Khan exercise: Polynomials intro

IXL: Algebra 2 L.1 Polynomial vocabulary

**1.2 Adding and Subtracting polynomials**

**Explanation:**Notes | Annotated

Khan video: Adding polynomials

Khan video: Subtracting polynomials

Khan video: Polynomial subtraction

Khan article: Adding and subtracting polynomials review

**Practice Problems**Khan exercise: Add polynomials (intro)

Khan exercise: Subtract polynomials (intro)

Khan exercise: Add & subtract polynomials

IXL: Algebra 2 L.2 Add and subtract polynomials

**1.3 Multiplying polynomials**

**Explanation:**Notes| Annotated | Video: SafeShareTV | YouTube

Khan video: Multiplying monomials

Khan video: Multiplying monomials by polynomials

Khan article: Multiplying monomials by polynomials review

Khan video: Multiplying binomials by polynomials

Khan article: Multiplying binomials by polynomials review

Khan video: Polynomial special products: difference of squares

Khan video: Polynomial special products: perfect square

**Practice Problems**Khan exercise: Multiplying monomials

Khan exercise: Multiply monomials by polynomials

Khan exercise: Multiplying binomials

Khan exercise: Multiply binomials by polynomials

Khan exercise: Polynomial special products: difference of squares

Khan exercise: Polynomial special products: perfect square

IXL: Algebra 2 L.3 Multiply polynomials

**1.4 Factoring: Greatest Common Factor (GCF)**

**Explanation:**Khan video: Factoring with the distributive property (3:27)

Khan video: Taking common factor from binomial

Khan video: Taking common factor from trinomial

Khan video: Factoring polynomials: common factor area model

Khan Article: Factoring polynomials by taking a common factor

**Practice Problems:**IXL Algebra 2 J.1: Factor out a monomial

Khan Exercise: GCF factoring introduction (includes area model)

Khan exercise: Factor polynomials: common factor (uses some rectangle area modeling)

**Teacher Resource:**Factor expressions using GCF: ExamView Test Bank (purchase)

Solve equations by factoring with the GCF: ExamView Test Bank (purchase)

**1.5 Factoring: Difference of Squares**

**Explanation**Notes| Annotated | Video: SafeShareTV | YouTube

Khan video: Difference of squares intro (4:53)

Khan article: Factoring quadratics: Difference of squares

Khan video: Factoring difference of squares: leading coefficient â‰ 1 (2:22)

Khan video: Factoring using the difference of squares pattern (1:48)

**Practice Problems:**Khan Exercise: Difference of squares intro

Khan Exercise: Factor differences of squares

**Teacher Resource:**Factor expression using difference of squares: ExamView Test Bank (purchase)

Solve equations by factoring difference of squares: ExamView Test Bank (purchase)

**1.6 Factoring: Sum and Difference of Cubes**

**Explanation:**Khan video: Factoring difference of cubes (4:12)

Khan video: Factoring sum of cubes (4:46)

**Practice Problems:**IXL: Algebra 2 J.6 Sums and Differences of Cubes

Teacher Resource:

ExamView Test Bank (purchase)

**1.7 Factoring: Grouping Method**

**Explanation**Notes | Annotated | video: SafeShareTV | Youtube

Khan article: Factoring by grouping

Khan video: Factoring higher degree polynomials (start at 2:11)

**Practice Problems**IXL: Algebra 2 J.5: Factor by grouping

**Teacher Resource:**ExamView Test Bank (purchase)

**1.8 Factoring: Trinomials (A = 1)**

**Explanation**Khan video: Factoring quadratics as (x+a)(x+b) (6:33)

Khan article: Factoring quadratics: leading coefficient = 1

Khan video: Factoring quadratics as (x+a)(x+b) (example 2) (4:19)

Khan video: More examples of factoring quadratics as (x+a)(x+b) (16:29)

Khan video: Factoring completely with a common factor (3:59)

Khan article: Factoring simple quadratics review

**Practice Problems:**Khan exercise: Warmup: factoring quadratics intro

Khan exercise: Factoring quadratics intro

Khan exercise: Factoring quadratics with a common factor

IXL: Algebra 2 J.3: Factor quadratics (A = 1 with GCF score of 70) (over score of 78 a >1 and not factor)

IXL: Algebra 2 J.4: Factor using a quadratic pattern - score of 28 (after includes factors of difference of squares)

**Teacher Resource:**Factor: ExamView Test Bank (purchase)

Solve trinomials (A = 1) by factoring: ExamView Test Bank (purchase)

**1.9 Factoring: Trinomials (A does not equal 1)**

**Explanation:**Notes | Annotated | Video: SafeShareTV | YouTube

Khan video: Intro to grouping (13:56)

Khan article: Factoring by grouping

Khan video: Factoring quadratics by grouping (3:54)

Khan article: Factoring quadratics: leading coefficient â‰ 1

Khan video: Factoring quadratics: common factor + grouping (4:45)

Khan video: Factoring quadratics: negative common factor + grouping (5:16)

**Practice Problems:**

Khan exercise: Factor quadratics by grouping

Khan exercise: Factor polynomials: quadratic methods (Honors: includes higher order polynomials and multiple variables | Algebra - all content)

**Teacher Resource:**ExamView Test Bank (purchase)

**1.10 Factoring: Mixed Review**

**Explanation:**Khan video: Strategy in factoring quadratics (part 1 of 2) (7:11)

Khan video: Strategy in factoring quadratics (part 2 of 2) (8:40)

Khan article: Factoring quadratics in any form

Khan video: Introduction to factoring higher degree polynomials (5:52)

**Practice Problems:**Khan exercise: Factor higher degree polynomials

Khan exercise: Factor polynomials using structure (honors: some have multiple variables)

IXL: Algebra 2: J.7 Factor polynomials - includes cubes

**1.11 Polynomial Identities**

**Explanation**Khan video: Polynomial identities introduction (4:55)

Khan video: Analyzing polynomial identities (7:38)

**Practice Problems:**Khan Exercise: Prove polynomial identities

**1.12 Binomial Expansion (honors)**

**Explanation**Khan video: Intro to the Binomial Theorem

Khan video: Pascal's triangle and binomial expansion

Khan video: Expanding binomials

Khan video: Expanding binomials w/o Pascal's triangle

Khan video: Binomial expansion & combinatorics

Khan video: Pascal's triangle & combinatorics

**Practice Problems:**Khan Exercise: Expand binomials