document.write( "Question 256186: Factor if possible: x^5 - 6x^3 + 5x \n" ); document.write( "

Algebra.Com's Answer #188366 by drk(1908) $\"\"$ $\"About$

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We start with
\n" ); document.write( " $\"x%5E5+-+6x%5E3+%2B+5x\"$
\n" ); document.write( "factor out an x to get
\n" ); document.write( " $\"x%28x%5E4+-+6x%5E2+%2B+5%29\"$
\n" ); document.write( "Let U = x^2 and U^2 = x^4. By substitution, we get
\n" ); document.write( " $\"x%28U%5E2+-+6U+%2B+5%29\"$
\n" ); document.write( "factored, we get
\n" ); document.write( " $\"x%28U%2B5%29%28U%2B1%29\"$
\n" ); document.write( "resubbing x^2 for U, we get
\n" ); document.write( " $\"x%28x%5E2%2B5%29%28x%5E2%2B1%29\"$ \n" ); document.write( "

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