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!

More examples of factoring quadratics with a leading coefficient of 1

VIDEO 16:30 minutes
Can't get enough of Sal factoring simple quadratics? Here's a handful of examples just for you!

Example 1: Factoring quadratics with a leading coefficient of 1

VIDEO 4:20 minutes
Factor x^2-14x+40 as (x-4)(x-1) and x^2-x-12 as (x+3)(x-4).

Factoring quadratics with a leading coefficient of 1

PRACTICE PROBLEMS
Use the "sum-product" form to factor quadratics of the form x^2+bx+c.

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 polynomials using quadratic methods

PRACTICE PROBLEMS
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.

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 a difference of squares with two variables

VIDEO 1:49 minutes
Factor x^2-49y^2 as (x+7y)(x-7y).

Factoring simple special products

PRACTICE PROBLEMS
Factor quadratic expressions into the special products of the general forms (x+a)^2, (x-a)^2, and (x+a)(x-a).

Example 6: Factoring a difference of squares with two variables

VIDEO 2:30 minutes
Factor 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y).

Factoring differences of squares

PRACTICE PROBLEMS
Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).

Making use of structure 2 - Factoring polynomials with special product forms

PRACTICE PROBLEMS
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.

Example 3: Factoring quadratics by taking a common factor and grouping

VIDEO 4:46 minutes
Factor 35k^2+100k-15 as 5(k+3)(7k-1)

Example 4: Factoring quadratics by taking a negative common factor and grouping

VIDEO 5:17 minutes
Factor -12f^2-38f+22 as -2(2f-1)(3f+11).

Factoring quadratics with a leading coefficient other than 1

PRACTICE PROBLEMS
Use the grouping method to factor quadratics of the form ax^2+bx+c.