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

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

+ 𝒂𝒚

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

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