document.write( "Question 891884: A polynomial P is given. \r
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document.write( "P(x) = x^6-7x^3-8
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document.write( "(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. If a root has multiplicity greater than one, only enter the root once.)
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document.write( "x=?
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document.write( "b) Factor P Completely \n" );
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Algebra.Com's Answer #540126 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! Possible maximum of six roots. Try synthetic division on \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "According to that, roots found: -1, 2 \n" ); document.write( "Those seem to be the only rational roots, leaving as quotient coefficients 1,1,3,-2,4 for the polynomial factor \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Should be some other complex roots. Maybe a substitution for x^3 as another temporary variable may help. If you will do this, then you can factorize this way:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "You can derive for yourself OR look for sum and difference of cubes in a book to obtain; \n" ); document.write( " |