Download Chapter 10 : POLYNOMIAL

Polynomials Unit: A-SSE.1a
CLASSIFYING POLYNOMIAL
Classifying polynomials by degree
and terms.
Polynomial Expression Vocabulary
• Polynomial- A polynomial is a mathematical expression (terms) or a sum of terms. Polynomial can
be used to represent any number of terms. Polynomial is often used to represent more than 3
terms.
• Term- Mathematical expressions that contain constant (number) and variables (letters). A number
that is by itself is called constant and a number that is attached to a variable is called a coefficient.
Terms are separated by addition or subtraction. Terms are joined together by multiplication.
A polynomial term cannot have a square root of a variable, no fractional exponents, and no variables
in the denominator of any fraction.
• Variables- A letter that represents a value or unknown.
• Coefficient- a number that is attached to a variable by multiplication. (number in front of the
variable)
• Like Terms- have the same variable(s) and the same degree (exponent) for each variable.
• Factors- one of two or more numbers and/or variables, that when multiplied together produce a
given product.
Polynomial Expression Vocabulary
https://www.youtube.com/watch?v=8SB41mrH4oo
Identifying like terms
https://www.youtube.com/watch?v=8GOo6QsFAEU
Factors

https://www.youtube.com/watch?v=bpMODKm_8zU
Classifying Polynomial

There are two different ways to
classify polynomials. The first is by
the number of terms and the
second is by the degree
(exponent).
Classifying Polynomials by the
number of terms
https://www.youtube.com/watch?v=D-3NIysYshM
CLASSIFYING POLYNOMIAL
Monomial: Mon means one, a
polynomial with one term.
Examples of Monomials:*Terms are joined
by a multiplication.




2
-4x
100x²
6x³y²
CLASSIFYING POLYNOMIAL
* Terms are separated by a + or - sign.
 Binomial: Bi means two, a polynomial
with two terms.
 Examples of Binomials:




x² + 4
-4x³ - 8
10x² +1
6x³y² - 12
CLASSIFYING POLYNOMIAL
Terms are separated by a + or sign.
Trinomial: Tri means three, a
polynomial with three terms.
Examples of Trinomials:
 4x² +2x + 4
 -4x³ - 8x² + 2
 10x² -x +1
How to classify polynomials by
degree
https://www.youtube.com/watch?v=kyylTeYWi-0
CLASSIFYING POLYNOMIAL
Name of Polynomial by degree:
Constant
4
1
-4x – 8
Linear
x² +2x – 3
Quadratic
3x³ - 5x
Cubic
Standard Form and Leading
Coefficient

Standard Form of a polynomial: terms are placed in order from highest degree

to lowest degree.
Leading Coefficient: the coefficient of the term of highest degree in a given
polynomial.
https://www.youtube.com/watch?v=53x8cIPf8X0
Is the polynomial a terms or factor?

Terms: are separated by

variable multiplied together to make a
product.
addition or subtraction.
𝟓𝒙 and 𝟐 are terms
because they are
separated by an addition
sign.
Inside the parenthesis 𝒙
and 𝟒 are terms because
they are separated by an
subtraction sign.
Factors: are the numbers and/or
𝟓𝒙 + 𝟐
𝟑 𝒙−𝟒
𝟓𝒙 is also a factor
because 𝟓 is being
multiplied by 𝒙
𝟑 and 𝒙 − 𝟒 are also a
factor because 𝟑 is being
multiplied to 𝒙 − 𝟒
Putting it all together

https://www.youtube.com/watch?v=h6YTILYLGKw
Degree of a Monomial
Note: You will not be formally assessed on this concept BUT
you will need it for AZMerit and future math classes.
https://www.youtube.com/watch?v=nXtDJ6JiPLQ