CLASSIFYING ALGEBRAIC

EXPRESSIONS

Define the word “mono”

CLUE:

Define the word “bi”

CLUE:

Define the word “tri”CLUE:

Define the word “poly”CLUE:

POLYNOMIAL

an algebraic expression that represents a sum of

ONE or MORE TERMS containing whole number

exponents on the variables

Remember the parts

of a term?

NUMERICAL COEFFICIENT

The number in an algebraic term.

LITERAL COEFFICIENT

A letter used to represent a number

EXAMPLES:

4 x

Numerical coefficient Literal coefficient

-45 abc

Numerical coefficient Literal coefficient

Examples:

3xy2x + y

x2 – 2x + 62x3 - x2 + 4x - 10

NOT A POLYNOMIAL

Variable inside the radical sign

√ 3x4x + √ 7y

5a – 3b + √ c

NOT A POLYNOMIAL

Negative exponents.

2x + y -2 3x4 y-1 z3

m-3 + 8

NOT A POLYNOMIAL

Variable in the denominator

__2x + y__z

__1__2x

NOT A POLYNOMIAL..

If there is/are….

Variable/s inside the radical sign

Negative exponent/s.Variable/s in the denominator

MonomialBinomialTrinomial

CLASSIFICATION OF POLYNOMIALS:

MONOMIAL

a polynomial with ONE

TERM

Examples:

x -2x xyz 5x2 y3 z 4 -4

BINOMIAL

a polynomial

with TWO TERMS

Examples:

x + y 2x – 3y 4a + b2 a3 – bc2d-3m – n m + _1_ 2

TRINOMIAL

a polynomia

l with THREETERMS

Examples:

x + y + z2x – 3y – 4za3 – 4b + c4

Classify the following polynomials:

1) 2x + 32) a2 b4

3)5x – 3y + 4z

4) -85) 3a – 2b -3

1) binomial

2) monomial

3) Trinomial

4) monomial

5) NOT a polynomial

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

5x + 3x2 – 7Polynomial or not a Polynomial: PolynomialClassification: TrinomialDescending order: 3x2 + 5x - 7

Degree:Leading Coefficient:

23

-5x3 + 12/x2 + 4x + 9Polynomial or not a Polynomial:Classification:Descending order:

Degree: 2Leading Coefficient:

8x5 y3 – 5x4 y6 + 6x3 y4

Polynomial or not a Polynomial:Classification:Descending order:

Degree: Leading Coefficient: