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Factorization

Introduction to factorization

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Intro to factors & divisibility
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Intro to factors & divisibility
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Practice
Factors & divisibilityGet 3 of 4 questions to level up!

Factoring monomials

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Monomial factorization
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Factoring monomials
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Worked example: finding the missing monomial factor
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Worked example: finding missing monomial side in area model
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Greatest common factor of monomials
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Greatest common factor of monomials
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Practice
Factor monomialsGet 3 of 4 questions to level up!
Greatest common factor of monomialsGet 3 of 4 questions to level up!

Factoring polynomials by taking common factors

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Factoring with the distributive property
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Factoring polynomials by taking a common factor
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Factoring binomials: common factor
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Factoring polynomials: common factor
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Factoring polynomials: common factor area model
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Factoring polynomials: common binomial factor
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Factoring by common factor review
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Practice
Factor polynomials: common factorGet 3 of 4 questions to level up!

Evaluating expressions with unknown variables

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Worked example: evaluating expressions using structure
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Worked example: evaluating expressions using structure (more examples)
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Practice
Evaluate expressions using structureGet 3 of 4 questions to level up!

Factoring quadratics intro

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Factoring quadratics as (x+a)(x+b)
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Factoring quadratics: leading coefficient = 1
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Factoring quadratics as (x+a)(x+b) (example 2)
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More examples of factoring quadratics as (x+a)(x+b)
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Factoring simple quadratics review
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Practice
Warmup: factoring quadratics introGet 3 of 4 questions to level up!
Factoring quadratics introGet 3 of 4 questions to level up!

Factoring quadratics by grouping

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Intro to grouping
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Factoring by grouping
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Factoring quadratics by grouping
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Factoring quadratics: leading coefficient ≠ 1
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Practice
Factor quadratics by groupingGet 3 of 4 questions to level up!

Factoring polynomials with quadratic forms

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Factoring quadratics: common factor + grouping
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Factoring quadratics: negative common factor + grouping
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Factoring two-variable quadratics
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Factoring two-variable quadratics: rearranging
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Factoring two-variable quadratics: grouping
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Practice
Factor polynomials: quadratic methodsGet 3 of 4 questions to level up!
Factor polynomials: quadratic methods (challenge)Get 3 of 4 questions to level up!

Factoring quadratics: Difference of squares

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Difference of squares intro
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Factoring quadratics: Difference of squares
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Factoring difference of squares: leading coefficient ≠ 1
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Factoring difference of squares: analyzing factorization
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Factoring difference of squares: missing values
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Factoring difference of squares: shared factors
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Practice
Difference of squares introGet 3 of 4 questions to level up!
Difference of squaresGet 3 of 4 questions to level up!

Factoring quadratics: Perfect squares

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Perfect square factorization intro
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Factoring quadratics: Perfect squares
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Factoring perfect squares
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Identifying perfect square form
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Factoring perfect squares: common factor
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Factoring perfect squares: negative common factor
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Factoring perfect squares: missing values
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Factoring perfect squares: shared factors
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Practice
Perfect squares introGet 3 of 4 questions to level up!
Perfect squaresGet 3 of 4 questions to level up!

Strategy in factoring quadratics

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Strategy in factoring quadratics (part 1 of 2)
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Strategy in factoring quadratics (part 2 of 2)
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Factoring quadratics in any form
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Factoring polynomials with special product forms

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Factoring perfect squares: 4th degree polynomial
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Factoring difference of squares: two variables
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Factoring difference of squares: two variables (example 2)
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Practice
Factor polynomials: special product formsGet 3 of 4 questions to level up!
Factoring polynomials challengeGet 5 of 6 questions to level up!

Polynomial Remainder Theorem

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Intro to the Polynomial Remainder Theorem
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Using the Polynomial Remainder Theorem: finding remainders
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Using the Polynomial Remainder Theorem: checking factors
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Using the Polynomial Remainder Theorem: finding coefficients
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Proof of the Polynomial Remainder Theorem
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Practice
Use the Polynomial Remainder TheoremGet 3 of 4 questions to level up!

About this unit

Learn how to write polynomial expressions as the product of linear factors. For example, write x^2+3x+2 as (x+1)(x+2).