document.write( "Question 535704: how do you factor t^5 - 29t^3 + 100t?? \n" ); document.write( "

Algebra.Com's Answer #351971 by Earlsdon(6294) $\"\"$ $\"About$

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Factor:
\n" ); document.write( " $\"t%5E5-29t%5E3%2B100t\"$ First factor a t.
\n" ); document.write( " $\"t%28t%5E4-29t%5E2%2B100%29\"$ Now you can rewrite the trinomial interms of $\"t%5E2\"$ thus:
\n" ); document.write( " $\"t%28%28t%5E2%29%5E2-29%28t%5E2%29%2B100%29\"$ Now factor the re-written trinomial.
\n" ); document.write( " $\"t%28t%5E2-4%29%28t%5E2-25%29\"$ Now you factor the two \"difference of squares\" factors, recalling that: $\"A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29\"$ .
\n" ); document.write( " $\"highlight%28t%28t%2B2%29%28t-2%29%28t%2B5%29%28t-5%29%29\"$ \n" ); document.write( "

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