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 β5π₯ 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 β5π₯π¦ 2 are like terms

Terms can only be added or subtracted if they are βlikeβ.

Example β‘

Simplify a) (π β 2π) + (3π β π) b) (π₯ 2 + 2π₯ β 1) β (β4π₯ 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

) ππ

### + ππ

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