# Polynomials

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Polynomials

## 7. Identifying the leading coefficient and the degree of a polynomial

### 7.1. 5x^3+15

7.1.1. The Leading coefficient would be 5 and the degree would be 3

## 8. Multiplying and monomial and a polynomial

### 8.1. (x+2)(x^2+3x+5)

8.1.1. You multiply x by everything in the other parenthesis and then multiply 2 by everything in the other parenthesis and then you combine like terms.

## 9. Vocabulary

### 9.1. End behavior

9.1.1. What is going on at the ends of each graph.

9.2.1. The numbers written in front of the variable with the largest exponent.

### 9.3. Local maximum

9.3.1. The greatest value in a set of points.

### 9.4. Local minimum

9.4.1. The least value in set of points.

### 9.5. Monomial

9.5.1. Consisting of one term

### 9.6. Multiplicity

9.6.1. A large number

### 9.7. Polynomial

9.7.1. is the sum of one or more monomials with real coefficients and non negative integer exponents.

### 9.8. Polynomial function

9.8.1. real numbers and n are a non negative integer.

### 9.9. Synthetic division

9.9.1. A shorthand, or shortcut, method of polynomial division in the case of dividing by a linear factor.

### 9.10. Turning point

9.10.1. a time at which a decisive change in a situation occurs