If you're seeing this message, it means we're having trouble loading external resources for Khan Academy.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Factoring quadratics

11 videos
8 skills
Just saying the word "quadratic" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these "quadratics" with new found powers of factorization. Well, dream no longer. This tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!

Factoring quadratic expressions

VIDEO 16:30 minutes
Factoring Quadratic Expressions

Examples: Factoring simple quadratics

VIDEO 4:20 minutes
A few examples of factoring quadratics

Factoring quadratics 1

PRACTICE PROBLEMS
Factor quadratics that are not perfect squares, where the leading coefficient is 1.

Solving a quadratic equation by factoring

VIDEO 6:22 minutes
U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi

Recognizing a perfect square quadratic

VIDEO 3:19 minutes
U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi

Solving quadratics by factoring

PRACTICE PROBLEMS
Factor quadratics to find the x-intercepts. Solve a polynomial by factoring.

Example 1: Factoring trinomials with a common factor

VIDEO 5:01 minutes
Factoring trinomials with a common factor

Factoring quadratics 2

PRACTICE PROBLEMS
Factor quadratics that are not perfect squares, where the leading coefficient is not 1

Solving quadratics by factoring 2

PRACTICE PROBLEMS
Solve quadratics by factoring, where the leading coefficient is not 1

Factoring special products

VIDEO 10:08 minutes
Factoring Special Products

Example 1: Factoring difference of squares

VIDEO 1:49 minutes
Factoring difference of squares

Factoring difference of squares 1

PRACTICE PROBLEMS
Factoring differences of squares into the form (x+b)*(x-b)

Example 2: Factoring difference of squares

VIDEO 2:30 minutes
Factoring difference of squares

Factoring difference of squares 2

PRACTICE PROBLEMS
Factoring differences of squares into the form (Ax+b)*(Ax-b)

Factoring difference of squares 3

PRACTICE PROBLEMS
Factoring a difference of squares in the format C(Ax+b)*(Ax-b)

Example 5: Factoring by grouping

VIDEO 4:46 minutes
Factoring Trinomials by Grouping 5

Example 6: Factoring by grouping

VIDEO 5:17 minutes
Factoring Trinomials by Grouping 6

Factoring polynomials by grouping

PRACTICE PROBLEMS
Factor polynomials by grouping