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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!
Can't get enough of Sal factoring simple quadratics? Here's a handful of examples just for you!
Sal factors x^2-14x+40 as (x-4)(x-1) and x^2-x-12 as (x+3)(x-4).
Use the "sum-product" form to factor quadratics of the form x^2+bx+c.
U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi
U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi
Factor quadratics to find the x-intercepts. Solve a polynomial by factoring.
Factoring trinomials with a common factor
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
Solve quadratics by factoring, where the leading coefficient is not 1
Factoring Special Products
Sal factors x^2-49y^2 as (x+7y)(x-7y).
Factor quadratic expressions into the special products of the general forms (x+a)^2, (x-a)^2, and (x+a)(x-a).
Sal factors 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y).
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).
Sal factors 45x^2-125 as 5(3x+5)(3x-5).
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
Sal factors 35k^2+100k-15 as 5(k+3)(7k-1).
Sal factors -12f^2-38f+22 as -2(2f-1)(3f+11).
Use the grouping method to factor quadratics of the form ax^2+bx+c.