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!

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

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

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

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

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

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

PRACTICE PROBLEMS

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).

Example 2: Factoring a difference of squares with leading coefficient other than 1

VIDEO 2:23 minutes
Factor 45x^2-125 as 5(3x+5)(3x-5).

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).