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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

Polynomial

Number of Terms

−5𝑥

3 𝑦

2

Binomial

Trinomial

**DEGREE OF A TERM**

The sum of the exponents on the variables.

**EX**

:

2𝑥

3

Degree _____

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

**ADD AND SUBTRACT POLYNOMIALS **

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) =

3

*y*

) 𝒂𝒙

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