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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 :

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

**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) = 𝒂𝒙

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