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Unit: Quadratics and polynomials

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Possible mastery points

Adding & subtracting polynomials

Learn
Adding polynomials
(Opens a modal)
Subtracting polynomials
(Opens a modal)
Adding and subtracting polynomials review
(Opens a modal)
Practice
Add polynomials (intro)Get 3 of 4 questions to level up!
Subtract polynomials (intro)Get 3 of 4 questions to level up!

Multiplying binomials

Learn
Multiplying monomials by polynomials
(Opens a modal)
Multiplying monomials by polynomials review
(Opens a modal)
Multiplying binomials: area model
(Opens a modal)
Multiplying binomials intro
(Opens a modal)
Multiplying binomials
(Opens a modal)
Multiplying binomials review
(Opens a modal)
Practice
Multiply monomials by polynomialsGet 3 of 4 questions to level up!
Multiply binomials introGet 3 of 4 questions to level up!
Multiply binomialsGet 3 of 4 questions to level up!

Special products of binomials

Learn
Special products of the form (x+a)(x-a)
(Opens a modal)
Squaring binomials of the form (x+a)²
(Opens a modal)
Binomial special products review
(Opens a modal)
Practice
Multiply difference of squaresGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 600 Mastery points

Factoring polynomials by taking common factors

Learn
Factoring with the distributive property
(Opens a modal)
Factoring polynomials by taking a common factor
(Opens a modal)
Taking common factor from binomial
(Opens a modal)
Taking common factor from trinomial
(Opens a modal)
Taking common factor: area model
(Opens a modal)
Factoring polynomials: common binomial factor
(Opens a modal)
Factoring by common factor review
(Opens a modal)
Practice
Factor polynomials: common factorGet 3 of 4 questions to level up!

Factoring quadratics 1

Learn
Factoring quadratics as (x+a)(x+b)
(Opens a modal)
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
(Opens a modal)
Practice
Factoring quadratics introGet 3 of 4 questions to level up!

Factoring quadratics 2

Learn
Intro to grouping
(Opens a modal)
Factoring by grouping
(Opens a modal)
Factoring quadratics by grouping
(Opens a modal)
Factoring quadratics: leading coefficient ≠ 1
(Opens a modal)
Practice
Factor quadratics by groupingGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 300 Mastery points

Factoring quadratics: Difference of squares

Learn
Factoring difference of squares: leading coefficient ≠ 1
(Opens a modal)
Factoring quadratics: Difference of squares
(Opens a modal)
Factoring difference of squares: analyzing factorization
(Opens a modal)
Factoring difference of squares: missing values
(Opens a modal)
Factoring difference of squares: shared factors
(Opens a modal)
Practice
Difference of squaresGet 3 of 4 questions to level up!

Factoring quadratics: Perfect squares

Learn
Factoring perfect squares
(Opens a modal)
Factoring quadratics: Perfect squares
(Opens a modal)
Identifying perfect square form
(Opens a modal)
Factoring higher-degree polynomials: Common factor
(Opens a modal)
Factoring perfect squares: negative common factor
(Opens a modal)
Factoring perfect squares: missing values
(Opens a modal)
Factoring perfect squares: shared factors
(Opens a modal)
Factoring quadratics in any form
(Opens a modal)
Practice
Difference of squares introGet 3 of 4 questions to level up!
Perfect squaresGet 3 of 4 questions to level up!

Solving quadratic equations by factoring

Learn
Solving quadratics by factoring
(Opens a modal)
Solving quadratics by factoring
(Opens a modal)
Solving quadratics by factoring: leading coefficient ≠ 1
(Opens a modal)
Solving quadratics by factoring review
(Opens a modal)
Practice
Quadratics by factoring (intro)Get 3 of 4 questions to level up!
Quadratics by factoringGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 500 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1400 Mastery points!

About this unit

We'll now progress beyond the world of purely linear expressions and equations and enter the world of quadratics (and more generally polynomials). Learn to factor expressions that have powers of 2 in them and solve quadratic equations. We'll also learn to manipulate more general polynomial expressions.