# Functions

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Functions

### 1.2. Solve by:

1.2.1. completing the square

1.2.2. factoring

1.2.2.1. by groupimg

1.2.2.2. greatest common factor

1.2.2.3. zero product property

1.2.3. formula

### 1.3. Vocab

1.3.1. parabola

1.3.2. FOIL

1.3.3. discriminant

1.3.4. binomial

### 1.4. Objectives

1.4.1. 1. Recognize that the square root of -1 is represented as i.

1.4.2. 2. Simplify radical expressions containing negative rational numbers and express in a + bi form.

2.2.1. real

2.2.2. nonreal

2.3.1. linear

2.3.3. cubics

2.3.4. quartics

## 3. Rational Unit 6

### 3.2. Vocab

3.2.1. horizontal asymptote

3.2.2. vertical asymptote

3.2.3. hole

### 3.3. Objectives

3.3.1. Add, subtract, multiply, and divide rational expressions whose denominators are monomials or polynomial expressions in non-factored form.

3.3.2. Recognize a complex algebraic fraction, and simplify it as a quotient or product of simple algebraic fractions.

3.3.3. Solve equations containing rational algebraic expressions with monomial or binomial denominators algebraically and graphically.

## 5. binomials

### 5.2. examples:

5.2.1. 3x+5

5.2.2. x²-y²

5.3.1. (5x+3y) + (4x+7y) = 9x+10y

5.3.2. combine like terms

## 6. polynomials

### 6.2. Examples

6.2.1. (x⁷+2x⁴-5)*3x

6.2.2. (6x² +3x) ÷ (3x)

6.2.2.1. it's possible to simplify this to 3x + 1