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Quadratic Root Factoring
by Barry Longden
# Quadratic Root Factoring

## Quadratic Equation

### Always works

### Tedious calcuations

### Derived from the standard
form of a quadratic

## Factor by Grouping

### Reverse distribution

## Factor by Reverse FOIL

### Typical and quickest method

## Always 2 answers

### 2 distinct, real answers

### 1 repeated, real answer

### 2 distinct, complex
(imaginary) answers

## Factor by Completing the
Square

### Another useful tool

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Benefit over other methods

Drawback from other methods

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

Diamond Method

Box Method

(x + h)(x + k) Method

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

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