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Dividing MonomialsDividing Monomials

3 6481

72 )

x yz

x yz

SimplifySimplify

3 6

5

48

72

x y z

y zx

GCF of MonomialsGCF of Monomials2 32 25 40) ,x y x

•Find the GCF of the coefficientsFind the GCF of the coefficients•Find the smaller power of Find the smaller power of commoncommon variables variables•Combine theseCombine these

DivideDivide

9 543

9

)m

SimplifySimplify

9 54

9 9 m

DivideDivide

108 724

9

)

uv v

v

SimplifySimplify

108 72

9 9

uv v

v v

Factoring:Factoring:5 35 12 4 16 ) x x x

•Find the GCF Find the GCF of all of all

monomialsmonomials4x

•Divide the Divide the GCF into the GCF into the polynomial to polynomial to find missing find missing

factorfactor

4 ( ? )x

4 24 3 4 ( )x x x

5 312 4 16

4

x x x

x

2 5 4 ( )( )x x

6) Simplify the following6) Simplify the following

FFrontront

OOutsideutside

IInsidenside

LLastast

USING THE FOIL METHODUSING THE FOIL METHODFFrontrontOOutsideutsideIInsidensideLLastast

FactorizeFactorize27 15 36 ) ( )( )x x x x

Find the factor Find the factor pairs of this…pairs of this…

That add That add to this to this

FactorizeFactorize28 5 24 ) ( )( )x x x x

Find the factor Find the factor pairs of this…pairs of this…

That add That add to this to this

FactorizeFactorize29 16 ) n

210 169 ) x

2 211 36 9 ) m n

2 2 2

2 2 2

2

2

( )

( )

a ab b a b

a ab b a b

Factoring Perfect SquaresFactoring Perfect Squares

1)1) Is the first term a square?Is the first term a square?2)2) Is the last term a square?Is the last term a square?3)3) Is the middle term (ignore sign) twice the Is the middle term (ignore sign) twice the

product of the roots of the first and last product of the roots of the first and last termsterms212 16 64 ) p p

2 2 2

2 2 2

2

2

( )

( )

a ab b a b

a ab b a b

Factoring Perfect SquaresFactoring Perfect Squares

1)1) Is the first term a square?Is the first term a square?2)2) Is the last term a square?Is the last term a square?3)3) Is the middle term (ignore sign) twice the Is the middle term (ignore sign) twice the

product of the roots of the first and last product of the roots of the first and last termsterms

213 9 42 49 ) x x