 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

: 2𝑥 3 Degree _____ Examples −5𝑥 3 𝑦 2 Degree _____

DEGREE OF A POLYNOMIAL

The highest degree of any of its terms.

POLYNOMIAL

5

NAME DEGREE

3𝑥 2𝑥 + 7 𝑥 3 + 4𝑥 2 − 𝑥 − 1

LIKE TERMS

A term is considered like if it has the same variable and those variables have the same exponent. Example: 2𝑦 2 𝑥 and −5𝑥𝑦 2 are like terms

Terms can only be added or subtracted if they are “like”.

Example ②

Simplify a) (𝑚 − 2𝑛) + (3𝑚 − 𝑛) b) (𝑥 2 + 2𝑥 − 1) − (−4𝑥 2 − 5𝑥 + 3)

DISTRIBUTIVE PROPERTY Example ③

Expand and simplify. a) 3

x

( 2

x

y

)  4

y

(

x

 3

y

) 𝒂𝒙

### + 𝒂𝒚

b)  2

y

(

x

y

)  2

x

(

y

x

) c) (  2

x

2

y

3 )( 3

xy

2 ) d)  36

xy

6

xy

2 4

FACTORS

A number or variable that divides evenly into a specified product

Example ④

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