RootsandRadicalExpressions根和根的表達(dá)式

會計(jì)學(xué)1RootsandRadicalExpressions根和根的表達(dá)式Inthischapter,youwilllearn:WhatapolynomialisAdd/subtract/multiply/dividepolynomialsSimplifyradicals,exponentsSolvingequationswithexponentsandradicalsComplexnumbersConjugates第1頁/共22頁Whatisamonomial?Anexpressionthatisanumber,thatmayormaynotincludeavariable.MONOMIALSNOTMONOMIALS第2頁/共22頁RealRootsRealrootsarethepossiblesolutionstoanumber,raisedtoapower.第3頁/共22頁VocabularyandPropertiesindexRadicalsignradicand第4頁/共22頁Howtofindtheroot(otherthanasquareroot),usingagraphingcalculator

1.Inputtherootyouaregoingtotake(forexample,ifyouaretakingthethirdrootofanumber,startwiththe3).2. PressMATHandselectoption53.Enterthevalueyouaretakingtherootof.Ex:4MATH581ENTER3第5頁/共22頁P(yáng)ractice:FindeachrootSolutions:22,7,andERR:NONREALANS

Let’stakeacloserlookatthisanswer第6頁/共22頁P(yáng)ropertiesandNotation:WhennisanevennumberWhy?Wewanttomakesurethattherootisalwayspositivewhentheindexisanevennumber第7頁/共22頁Note:Absolutevaluesymbolsensurethattherootispositivewhenxisnegative.Theyarenotneededforybecausey2isnevernegative.Absolutevaluesymbolsmustnotbeusedhere.Ifxisnegative,thentheradicandisnegativeandtherootmustalsobenegative.Noticethattheindexisanoddnumberhere...第8頁/共22頁Let’strysomeSimplifyeachexpression.Usetheabsolutevaluesymbolswhenneeded.第9頁/共22頁SolutionsSimplifyeachexpression.Usetheabsolutevaluesymbolswhenneeded.第10頁/共22頁P(yáng)ropertiesofExponents–let’sreview...第11頁/共22頁NEGATIVEEXPONENT

RULE第12頁/共22頁P(yáng)RODUCTORPOWER

RULEHAVETOHAVETHE

SAMEBASE第13頁/共22頁QUOTIENTOFPOWER

RULEHAVETOHAVETHE

SAMEBASE第14頁/共22頁P(yáng)OWEROFPOWER

RULE(x4)3第15頁/共22頁P(yáng)OWEROFPRODUCT

RULE(2x4)?第16頁/共22頁P(yáng)OWEROFAQUOTIENT

RULE第17頁/共22頁P(yáng)OWEROFQUOTIENT2

RULE第18頁/共22頁FractionalExponents

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