美国加州数学教材代数08

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1、8Factoring•Standard11.0Studentsapplybasicfactoringtechniquestosecond-andsimplethird-degreepolynomials.Thesetechniquesincludefindingacommonfactorforalltermsinapolynomial,recognizingthedifferenceoftwosquares,andrecognizingperfectsquaresofbinomials.•Standard14.0Studentssolveaquadraticequationbyfactori

2、ngorcompletingthesquare.(Key)KeyVocabularyfactoredform(p.421)perfectsquaretrinomials(p.454)primepolynomial(p.443)Real-WorldLinkDolphinsFactoringisusedtosolveproblemsinvolvingverticalmotion.Forexample,factoringcanbeusedtodeterminehowlongadolphinthatjumpsoutofthewaterisintheair.FactoringMakethisFolda

3、bletohelpyouorganizeyournotesonfactoring.Beginwithasheetof_1plain8”by11”paper.21Foldinthirdsandthen2Open.Foldinhalfalongthewidth.lengthwise,leaving_1a”tabontheright.26+/D3Open.Cutshortside4Labeleachtabas^6+0`alongfoldstomakeshown.q6+1ltabs.6+2of6+3k6+4d418Chapter8Factoring00418-0419COCH08-877852.in

4、dd418418-0419COCH08-877852.indd41899/21/065:58:40PM/21/065:58:40PMGETREADYforChapter8DiagnoseReadinessYouhavetwooptionsforcheckingPrerequisiteSkills.Option2TaketheOnlineReadinessQuizatca.algebra1.com.Option1TaketheQuickCheckbelow.RefertotheQuickReviewforhelp.RewriteeachexpressionusingtheEXAMPLE1Dis

5、tributiveProperty.Thensimplify.2_4Rewriten(n-3n+2+)usingthe(Lesson1-5)nDistributiveProperty.Thensimplify.1.3(4-x)2_4n(n-3n+2+)Originalexpression2.a(a+5)n2_4=(n)(n)+(n)(-3n)+(n)(2)+(n)()2n3.-7(n-3n+1)Distributentoeachterminsidetheparentheses.23=n2-3n3+2n+44.6y(-3y-5y-5y+y)Multiply.=-3n3+n2+2n+45.JOB

6、SInatypicalweek,Mr.JacksonRewriteindescendingaverages4hoursusinge-mail,10hoursorderwithrespecttotheofmeetinginperson,and20hoursonexponents.thetelephone.Writeanexpressionthatcouldbeusedtodeterminehowmanyhourshewillspendontheseactivitiesoverthenextmonth.Findeachproduct.(Lesson7-6)EXAMPLE26.(x+4)(x+7)

7、Find(x+2)(3x-1).7.(3n-4)(n+5)(x+2)(3x-1)Originalexpression8.(6a-2b)(9a+b)=(x)(3x)+(x)(-1)+(2)(3x)+(2)(-1)FOIL9.(-x-8y)(2x-12y)Method10.TABLETENNISThedimensionsofa=3x2-x+6x-2homemadetabletennistableareMultip