document.write( "Question 168695: Factor....Need some help\r
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document.write( "x^4-13x^2+36 \n" );
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Algebra.Com's Answer #124351 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Factor....Need some help \n" ); document.write( "x^4-13x^2+36 \n" ); document.write( "---------------- \n" ); document.write( "It will be (x^2 + ?)*(x^2 + ?) \n" ); document.write( "The ?'s product will be 36, and they add up to -13. \n" ); document.write( "Since it's +36, they have to have the same sign, both Pos or both Neg. \n" ); document.write( "Since they add to -13, they'll have to be both negative. \n" ); document.write( "Consider the factors of 36: \n" ); document.write( "1*36 \n" ); document.write( "2*18 \n" ); document.write( "3*12 \n" ); document.write( "4*9, and \n" ); document.write( "6*6 \n" ); document.write( "They're the same sign, so that add to 13. If the were not the same sign, you would look at the differences. \n" ); document.write( "Only 4 and 9 add to 13, so they're it. \n" ); document.write( "It's (x^2 - 4)*(x^2 - 9) \n" ); document.write( " \n" ); document.write( " |