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Quadratic Root Factoring by Mind Map: Quadratic Root Factoring
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Quadratic Root Factoring

Quadratic Equation

Always works

Benefit over other methods

Tedious calcuations

Drawback from other methods

Derived from the standard form of a quadratic

Factor by Grouping

Reverse distribution

Find a common group (x + h) and find two groups that share this group

Factor by Reverse FOIL

Typical and quickest method

Diamond Method

Box Method

(x + h)(x + k) Method

Always 2 answers

2 distinct, real answers

1 repeated, real answer

2 distinct, complex (imaginary) answers

Always conjugates (+ or - between the real and imaginary parts)

Factor by Completing the Square

Another useful tool

Find a perfect square, Divide the b term by 2 and square it, Add this term to both sides of the equation, Solve for x