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