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: