Polynomials Question (1 Viewer)

lychnobity · Apr 23, 2009

Hey I can't do this question, so I'm hoping you guys can help me out. Thanks in advance.

<meta http-equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CUsers%5CAnita%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><link rel="themeData" href="file:///C:%5CUsers%5CAnita%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx"><link rel="colorSchemeMapping" href="file:///C:%5CUsers%5CAnita%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml"><!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> <w:TrackMoves/> <w:TrackFormatting/> <w

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oNotPromoteQF/> <w:LidThemeOther>EN-AU</w:LidThemeOther> <w:LidThemeAsian>X-NONE</w:LidThemeAsian> <w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript> <w:Compatibility> <w:BreakWrappedTables/> <w:SnapToGridInCell/> <w:WrapTextWithPunct/> <w:UseAsianBreakRules/> <w

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ontVertAlignInTxbx/> <w:Word11KerningPairs/> <w:CachedColBalance/> </w:Compatibility> <m:mathPr> <m:mathFont m:val="Cambria Math"/> <m:brkBin m:val="before"/> <m:brkBinSub m:val="--"/> <m:smallFrac m:val="off"/> <m:dispDef/> <m:lMargin m:val="0"/> <m:rMargin m:val="0"/> <m:defJc m:val="centerGroup"/> <m:wrapIndent m:val="1440"/> <m:intLim m:val="subSup"/> <m:naryLim m:val="undOvr"/> </m:mathPr></w:WordDocument> </xml><![endif]--><style>  </style> Given p² = p + 1, find p³, p⁵ and p^-5 as linear polynomials in terms of p.

undalay · Apr 23, 2009

lychnobity said:
Hey I can't do this question, so I'm hoping you guys can help me out. Thanks in advance.

<META content=Word.Document name=ProgId><META content="Microsoft Word 12" name=Generator><META content="Microsoft Word 12" name=Originator><LINK href="file:///C:%5CUsers%5CAnita%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml" rel=File-List><LINK href="file:///C:%5CUsers%5CAnita%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx" rel=themeData><LINK href="file:///C:%5CUsers%5CAnita%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml" rel=colorSchemeMapping><STYLE>  </STYLE>Given p² = p + 1, find p³, p⁵ and p^-5 as linear polynomials in terms of p.

p² = p + 1,
p³ = p²+ p, (multiply both sides by p)
p³ = 2p + 1 (subbing in from original equation)

p⁵ = p³*p²
= 2p³ + p²
= 2(2p + 1) + p + 1
= 5p + 3

Try p^-5 for yourself : )

Polynomials Question (1 Viewer)

lychnobity

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undalay

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