7.2 Factoring Using the Distributive Property (work).notebook

7.2 Factoring Using the Distributive Property (work).notebook

April 19, 2017

7.2FactoringUsingtheDistributiveProperty

InChapter6welearnedtousethedistributiveproperty

tomultiplyamonomialandapolynomial .

InChapter7wewillworkbackwardstoputpolynomials

infactoredform.

Example1: Usethedistributivepropertytofactor10y 2+15y.

Example2: Usethedistributivepropertytofactor

18x2-12x3.

Example3: Usethedistributivepropertytofactor

28a4-42a2.

7.2 Factoring Using the Distributive Property (work).notebook

Example4: Factor28a2b+56abc2.

Example5: Factor20x3y-24x2y3.

Example6: Factor16fg2-24g2h+40g 2.

Example7: Factor6k3m+14k 2m2-4k3m3.

April 19, 2017

7.2 Factoring Using the Distributive Property (work).notebook

April 19, 2017

Example8: Writeanequationthatrepresentsthemeasure

oftheareaoftheshadedregioninfactoredform.

5

x

5

y

5

5

Example9: Adeck3meterswideistobebuiltarounda

swimmingpoolliketheoneshowninthefigure

below.Inordertodeterminetheamountof

materialthatisneededtobuildthedeck,a

carpenterneedstocalculatetheareaofthedeck.

Writeanequationthatrepresentsthisarea.

Section1

3m

a

Section2 3m

b

3m Section6

Section5

3m

d

c

3m

Section3

3m Section4

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