1. Homework Review

2. Functions and Function Notation
Skill Check
Functions and Function Notation

3. B. Some examples of monomials are:
Naming Polynomials
MONOMIALS:
A. A monomial is
B. Some examples of monomials are:
a number, variable, or a product of numbers and variables.
x y a5

4. A. A polynomial is the ________ or ___________ of monomials.
POLYNOMIALS:
A. A polynomial is the ________ or ___________ of monomials.
monomial
the sum
B. An example of a polynomial in one variable, x, would be
x3+6x2+12x+8
C. How many MONOMIALS are there in the above polynomial? 4

5. B. Example: Find the degree of the following polynomial:
The _________exponent in the polynomial determines the DEGREE OF A POLYNOMIAL in one variable.
largest
A. Example: The degree of –7x + 9 – 4x2 is ____ because ___ is the largest exponent in the polynomial. 2 2
B. Example: Find the degree of the following polynomial:
x4 + 6x3 + 7x5 + 12x 5

6. B. The coefficient of the first term is called the _______________.
STANDARD FORM
A. The terms of a polynomial are in STANDARD FORM if they are ordered from left to right in ______________ order; which means from the ____________ exponent to the smallest.
decreasing
largest
B. The coefficient of the first term is called the _______________.
C. To write a polynomial in Standard Form, ______________ the terms of the polynomial in ______________ order according to the ________________ of the variables.
Leading coefficient
arrange
decreasing
exponent

7. STANDARD FORM
D. Example: Write 9 + x – 4x3 in standard form.
– 4x3 + x + 9
E. Example: Write 3x2 – 2 + 4x – 5x3 in standard form.
– 5x3 + 3x2 + 4x - 2

8. B. Their _________ of terms C. Look at the chart for an explanation.
Some polynomials have SPECIAL NAMES that are determined by the following:
A. Their _________ or
B. Their _________ of terms
C. Look at the chart for an explanation.
degree
number

9. Polynomial Name by # of Terms DEGREE Name by Degree12 8x
4x2 + 3
5x3 + x2
3x2 – 4x + 6
x4 – x2 + 5x – 12
Monomial Constant
Monomial Linear
Binomial 2 Quadratic
Binomial Cubic
Trinomial 2 Quadratic
Polynomial Quartic

10. Composition of Functions