 ### LESSON 1 – GET READY

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 _____

−5𝑥 3 𝑦 2

Degree _____

Examples

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 𝒂(𝒙 + 𝒚) = 𝒂𝒙

### + 𝒂𝒚

3 y ) 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