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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