The document defines different types of algebraic expressions including monomials, binomials, and trinomials which are polynomials containing 1, 2, or 3 terms respectively. It provides examples of polynomials and discusses how to classify polynomials based on the number of terms and order the terms from highest to lowest degree with the leading coefficient being the coefficient of the highest degree term. The document also notes things that are not considered polynomials such as expressions with variables in radicals, negative exponents, or denominators.

1. CLASSIFYING
ALGEBRAIC
EXPRESSIONS

2. Define the word “mono”
CLUE:

3. Define the word “bi”
CLUE:

4. Define the word “tri”
CLUE:

5. Define the word “poly”
CLUE:

6. POLYNOMIAL
an algebraic expression that
represents a sum of ONE or
MORE TERMS containing
whole number exponents on
the variables

7. Remember the parts
of a term?

8. NUMERICAL COEFFICIENT
The number in
an algebraic
term.

9. LITERAL COEFFICIENT
A letter used to
represent a
number

10. EXAMPLES:
4x
Numerical coefficient Literal coefficient
-45 abc
Numerical coefficient Literal coefficient

11. Examples:
3xy
2x + y
x2 – 2x + 6
2x3 - x2 + 4x - 10

12. NOT A POLYNOMIAL
Variable inside the radical sign
√ 3x
4x + √ 7y
5a – 3b + √ c

13. NOT A POLYNOMIAL
Negative exponents.
2x + y -2
3x4 y-1 z3
m -3 + 8

14. NOT A POLYNOMIAL
Variable in the denominator
__2x + y__
z
__1__
2x

15. NOT A POLYNOMIAL..
If there is/are….
Variable/s inside the radical sign
Negative exponent/s.
Variable/s in the denominator

16. CLASSIFICATION OF
POLYNOMIALS:
Monomial
Binomial
Trinomial

17. MONOMIAL
a
polynomial
with ONE
TERM

18. Examples:
x -2x
xyz 5x 2 y3 z
4 -4

19. BINOMIAL
a polynomial
with
TWO TERMS

20. Examples:
x+y 2x – 3y
4a + b 2 a 3 – bc2d
-3m – n m + _1_
2

21. TRINOMIAL
a
polynomial
with
THREE
TERMS

22. Examples:
x+y+z
2x – 3y – 4z
a 3 – 4b + c4

23. Classify the following
polynomials:
1) 2x + 3 1) binomial
2) a2 b4 2) monomial
3) 5x – 3y + 4z 3) Trinomial
4) -8 4) monomial
5) NOT a
5) 3a – 2b -3
polynomial

24. • Polynomials are written in
descending order, the
coefficient of the first term
is the leading coefficient.

25. 5x + 3x2 –7
Polynomial or not a Polynomial:
Polynomial
Classification:
Trinomial
Descending order:
3x2 + 5x - 7
Degree: 2
Leading Coefficient: 3

26. -5x 3 + 12/x 2 + 4x + 9
Polynomial or not a Polynomial:
Classification:
Descending order:
Degree: 2
Leading Coefficient:

27. 8x 5 y3 – 5x 4 y6 + 6x 3 y 4
Polynomial or not a Polynomial:
Classification:
Descending order:
Degree:
Leading Coefficient: