document.write( "Question 1163109: I don't know how to answer this because as far as I know this is not factorable, but the question seems to say that it is.\r
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document.write( "David’s homework was to factor the polynomial completely (a) over the real numbers, (b) over the complex numbers.\r
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document.write( "x^3+4x^2+5x\r
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document.write( "He started x(x^2+4x+5) He knows that x=0 is a real root.
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document.write( "But there are no real factors of 5 that add up to 4???? So what does he do? \n" );
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Algebra.Com's Answer #787083 by ikleyn(52817)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By writing x^3+4x^2+5x = x(x^2+4x+5), you just get factoring over real numbers and over integer numbers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The quadratic polynomial (x^2+4x+5) is just NOT factorable further over real numbers and over integer numbers.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |