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A term is made up of a grouping of variables and constants. Terms are separated by adding or subtracting. Example: _________ Monomial Number of Terms Binomial Trinomial Polynomial

**DEGREE OF A TERM**

The sum of the exponents on the variables.

**EX**

: 2π₯ 3 Degree _____ Examples β5π₯ 3 π¦ 2 Degree _____

**DEGREE OF A POLYNOMIAL**

The highest degree of any of its terms.

**POLYNOMIAL **

5

**NAME DEGREE **

3π₯ 2π₯ + 7 π₯ 3 + 4π₯ 2 β π₯ β 1

**LIKE TERMS **

A term is considered like if it has the same variable and those variables have the same exponent. Example: 2π¦ 2 π₯ and β5π₯π¦ 2 are like terms

**ADD AND SUBTRACT POLYNOMIALS **

Terms can only be added or subtracted if they are βlikeβ.

**Example β‘**

Simplify a) (π β 2π) + (3π β π) b) (π₯ 2 + 2π₯ β 1) β (β4π₯ 2 β 5π₯ + 3)

**DISTRIBUTIVE PROPERTY Example β’**

Expand and simplify. a) 3

*x*

( 2

*x*

ο

*y*

) ο 4

*y*

(

*x*

ο 3

*y*

) ππ

b) ο 2

*y*

(

*x*

ο«

*y*

) ο« 2

*x*

(

*y*

ο

*x*

) c) ( ο 2

*x*

2

*y*

3 )( 3

*xy*

2 ) d) ο 36

*xy*

6

*xy*

2 4

**FACTORS **

A number or variable that divides evenly into a specified product

**Example β£**

Find the GCF (greatest common factor) of each pair of numbers. a) 12 and 28 b) 24 and 48