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Polynomial factorization

Factoring monomials

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Introduction to factoring higher degree polynomials
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Introduction to factoring higher degree monomials
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Which monomial factorization is correct?
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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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Factoring monomials
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Factor monomialsGet 3 of 4 questions to level up!

Greatest common factor

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Greatest common factor of monomials
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Greatest common factor of monomials
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Greatest common factor of monomialsGet 3 of 4 questions to level up!

Taking common factors

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Taking common factor from binomial
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Taking common factor from trinomial
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Taking common factor: area model
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Factoring polynomials by taking a common factor
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Practice
Factor polynomials: common factorGet 3 of 4 questions to level up!

Factoring higher degree polynomials

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Factoring higher degree polynomials
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Factoring higher-degree polynomials: Common factor
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Factor higher degree polynomialsGet 3 of 4 questions to level up!

Factoring using structure

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Identifying quadratic patterns
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Factorization with substitution
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Factoring using the perfect square pattern
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Factoring using the difference of squares pattern
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Practice
Identify quadratic patternsGet 3 of 4 questions to level up!
Factorization with substitutionGet 3 of 4 questions to level up!
Factor polynomials using structureGet 3 of 4 questions to level up!

Polynomial identities

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Polynomial identities introduction
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Analyzing polynomial identities
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Describing numerical relationships with polynomial identities
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Polynomial identitiesGet 3 of 4 questions to level up!

Geometric series

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Geometric series introduction
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Finite geometric series formula
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Worked examples: finite geometric series
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Geometric series word problems: swing
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Geometric series word problems: hike
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Practice
Geometric series formulaGet 3 of 4 questions to level up!
Finite geometric series word problemsGet 3 of 4 questions to level up!

About this unit

In Algebra 1, students rewrote (factored) quadratic expressions as the product of two linear factors. This helped them learn about the behavior of quadratic functions. In Algebra 2, we extend this idea to rewrite polynomials in degrees higher than 2 as products of linear factors. This will help us investigate polynomial functions. It also allows us to prove polynomial identities, which are mathematical statements that describe numerical relationships.