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9 7.1 pgs. 547-555 EQ: How do you factor by grouping? Date: Questions/Main Points a. 3 2 (5 + 1) − 2(5 + 1) b. 7(2 − 3) + (2 − 3) a. + 5 + 3 + 15 b. 2 − − 5 + 5 c. 2 + + 3 + 3 d. + 5 + + 5 e. 5 + 6 − 3 − 10 Summary: Factoring Out a Common Binomial Factor: Factor by Grouping: 4 4 15 1363 2 221 reais Group terms that have d xts common I I 3 3 I 55 xcx ys.sk monomial y s t3 Yts cx sK factors xcx y tstxtY Freed tobethe 1 when the signs Saml don't match factor Xt3 yt5 outa negative I 33 I of xta t3CxtY yts 1 Yts Xtatxty Not factorable CxtDCyt5 No commlon factors so rearrange it because 1st and 3rd term have common factors 5 3 off yqsvs EE.IE Isdy sx 3v t2ul3V 5D fyu2uJf5x 3v Xopposites.faactnoergaf.Y vet

7.1 pgs. 547-555 EQ: How do you factor by grouping? Date

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7.1 pgs. 547-555 EQ: How do you factor by grouping? Date: Questions/Main Points

a. 3𝑥2(5𝑥 + 1) − 2(5𝑥 + 1) b. 7𝑎(2𝑥 − 3) + (2𝑥 − 3) a. 𝑥𝑦 + 5𝑥 + 3𝑦 + 15 b. 𝑥2 − 𝑥𝑦 − 5𝑥 + 5𝑦 c. 𝑥2 + 𝑎𝑥 + 3𝑥 + 3𝑦 d. 𝑥𝑦 + 5𝑥 + 𝑦 + 5 e. 5𝑥𝑦 + 6𝑢𝑣 − 3𝑣𝑦 − 10𝑢𝑥

Summary:

Factoring Out a Common Binomial Factor:

Factor by Grouping:

4 4

15 1363 2221reais

Grouptermsthat have d xtscommon I I 3 3 I 55 xcxys.skmonomial

y s t3 Yts cxsKfactors xcx y tstxtYFreed tobethe 1whenthesignsSaml don'tmatchfactorXt3 yt5 outa negative

I 33 I ofxta t3CxtY yts 1 YtsXtatxty

Notfactorable CxtDCyt5

Nocommlon

factors so rearrangeit because1stand 3rdterm havecommonfactors5 3 off

yqsvsEE.IEIsdysx 3v t2ul3V 5D fyu2uJf5x 3v

Xopposites.faactnoergaf.Yvet