## 1. Factoring

### 1.1. 1) Use the FOIL Method (First, Outer, Inner, Last) to expand into quadratic form

1.1.1. Ex. (x-4)(x+3) = x^2-4x+3x-12

### 1.2. 2) To condense the Quadratic Equation, begin by listing all the factors of the last number (c term)

1.2.1. Ex: for x^2-4x-12=0: 1,2,3,4,6,and 12

### 1.3. 3) Determine what two factors can add up to the middle x term (b term)

1.3.1. Ex: x^2-4x-12=0, what two factors will get us -4? What about -6 and 2?

### 1.4. 4) After determining the factors, we can set up the quadratic

1.4.1. Ex: (x-6)(x+2)=0

### 1.5. 5) From here, we can figure out the key x coordinates of the quadratics

1.5.1. Ex: x=6 and x=-2

## 2. Graphing Quadratics

### 2.1. 1) Figure out the x and y intercepts

### 2.2. 2) Determine the vertex

### 2.3. 3) Determine if the parabola is positive or negative (arching up or arching down)

### 2.4. 4) Figure out at least two other points on each side of the vertex

### 2.5. 5) Draw graph once enough points are determined

## 3. Standard Form Equation

### 3.1. ax^2+bx+c=0

### 3.2. a, b, and c are coefficients

## 4. Key Takeaways

### 4.1. There may be one solution

4.1.1. Ex: (x-3)(x-3)=0