UNIT 3 QUADRATIC EXPRESSIONS LESSON 1 – GET READY

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UNIT 3 QUADRATIC EXPRESSIONS 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

: 2π‘₯ 3 Degree _____ Examples βˆ’5π‘₯ 3 𝑦 2 Degree _____

DEGREE OF A POLYNOMIAL

The highest degree of any of its terms.

POLYNOMIAL

5

NAME DEGREE

3π‘₯ 2π‘₯ + 7 π‘₯ 3 + 4π‘₯ 2 βˆ’ π‘₯ βˆ’ 1

LIKE TERMS

A term is considered like if it has the same variable and those variables have the same exponent. Example: 2𝑦 2 π‘₯ and βˆ’5π‘₯𝑦 2 are like terms

ADD AND SUBTRACT POLYNOMIALS

Terms can only be added or subtracted if they are β€œlike”.

Example β‘‘

Simplify a) (π‘š βˆ’ 2𝑛) + (3π‘š βˆ’ 𝑛) b) (π‘₯ 2 + 2π‘₯ βˆ’ 1) βˆ’ (βˆ’4π‘₯ 2 βˆ’ 5π‘₯ + 3)

DISTRIBUTIVE PROPERTY Example β‘’

Expand and simplify. a) 3

x

( 2

x

ο€­

y

) ο€­ 4

y

(

x

𝒂(𝒙 + π’š) =

ο€­ 3

y

) 𝒂𝒙

+ π’‚π’š

b) ο€­ 2

y

(

x



y

)  2

x

(

y

ο€­

x

) c) ( ο€­ 2

x

2

y

3 )( 3

xy

2 ) d) ο€­ 36

xy

6

xy

2 4

FACTORS

A number or variable that divides evenly into a specified product

Example β‘£

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

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