document.write( "Question 970481: I am trying to factor this problem but i'm stumped can you help me? Here is the problem:\r
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document.write( "x^5-7x^3+4x^2-28. I don't see any common factors so I'm stuck.\r
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document.write( "I first tried to do -7x^3+4x^2= -3x. I put this into the equation x^5-3x-28 I don't think this is right. \n" );
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Algebra.Com's Answer #593096 by josgarithmetic(39623)![]() ![]() ![]() You can put this solution on YOUR website! The polynomial might be factorable by grouping, but seeing it is a polynomial with so many (only four ) terms, Rational Roots Theorem, Factor and Remainder Theorems might be helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But back to grouping, see the 4 and the 28; or see the -7 and the -28. You might try separating them, but the feeling here is that such grouping may lead to nothing useful. You could still try.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My better impulse is to try testing \"roots\" of -1, -2, -4, -7, -14, 1, 2, 4, 7, 14, according to Rational Roots Theorem. Do you know how to do polynomial division? You could try dividing your degree-five polynomial by (x+1), (x+2), (x+4), and so on according to the listed possible roots. Remainder of 0 means you found a root (or a factor of your polynomial).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Be sure to use the polynomial you were given as this: \n" ); document.write( " \n" ); document.write( "- \n" ); document.write( "After trying with different divisions, mostly synthetic division for checking possible roots, I found nothing.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you arrange your given polynomial like this: \n" ); document.write( "you can form this: |