Factoring and Solving Quadratic Trinomials with the Magic Method (steps in video)

This is the easiest and most efficient way to factor. The magic factoring method can be used to factor any polynomial in the form ax^2+bx+c. This includes quadratic equations when the coefficient "a" is not 1. This way you only need to learn one method to factor. I've noticed that students make fewer mistakes with this method as opposed to using the "magic x."

FACTORING STEPS
1) Write the a, b, and c values. Remember the standard form of a quadratic expression is ax^2 + bx + c
2) Multiply a • c
3) Find all the factors of the number from step 2
4) Circle the magic pair of numbers whose sum (+) equals the “b” term
5) Write 2 fractions. Use the “a” term as the numerator and each magic factor as a denominator.
6) Simplify each fraction. It is okay if the fraction is improper.
7) Write your answer in the form ( #x + # ) ( #x + # ). The numerator is used as the x coefficient and the denominator is the constant.
8) Check by distributing. You should get the starting expression.

STEPS TO SOLVE A QUADRATIC EQUATION
1) Bring all terms to one side so that the equation will be set equal to zero.
2) Factor
3) Set each factor equal to 0 and solve for the variable (zero-product property)
4) Check by substituting each solution into the ORIGINAL equation.

Algebra Common Core A.SSE.3a