Download Intro to Polynomials

Algebra
Seminar
Introduction to
Polynomials
IDENTIFYING PARTS OF A
MONOMIAL
Exponent
Coefficient
Variable
Let’s try an example: Identify the coefficient, variable, and
exponent:
Exponent
Coefficient
Variable
WAYS TO CLASSIFY POLYNOMIALS
We can classify polynomials by the number of terms:
Monomial: 1 term Think about other words with the prefix mono:
monotone, monochromatic, monologue
Binomial:
2 terms Think about other words with the prefix bi:
bicycle, bifocals, bimonthly
Trinomial: 3 terms Think about other words with the prefix tri:
tricycle, triathlon, triceratops
OR by the degree of the polynomial...More on this later...
Let’s take a closer look at Polynomials
are fun!
classifying polynomials by
number of terms...
CLASSIFYING POLYNOMIALS BY
NUMBER OF TERMS
Monomial: a number, a variable, or the
product of a number and one or more variables.
We are also going to call this a term.
Let’s check out some examples of monomials:
A monomial with no variables is called a
constant.
CLASSIFYING POLYNOMIALS BY
NUMBER OF TERMS
Binomial: a polynomial with 2 terms
Let’s check out some examples of binomials:
Trinomial: a polynomial with 3 terms
Let’s check out some examples of trinomials:
CLASSIFYING POLYNOMIALS BY DEGREE
Finding the degree of a Monomial:
The sum
of the exponents of its variables.
Example 1:
Example 2:
Finding the degree of a Polynomial:
same as that of its term with the greatest degree.
Example 1:
Example 2:
The
CLASSIFYING POLYNOMIALS BY DEGREE
Degree
Name
Example
NON-EXAMPLES OF POLYNOMIALS
Fractions, Division
Square Roots
Variables as the exponent
Negatives as the exponent