document.write( "Question 256600: 6x^4-39x^2+60? \n" ); document.write( "

Algebra.Com's Answer #188689 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume you want to factor the following:
\n" ); document.write( "(i) $\"6x%5E4-39x%5E2%2B60\"$
\n" ); document.write( "Replace x^2 with a dummy variable like U. So U = x^2 and U^2 = x^4. We get
\n" ); document.write( "(ii) $\"6U%5E2-39U%2B60\"$
\n" ); document.write( "Now this looks more familiar. Factor this to get
\n" ); document.write( "(iii) $\"%28U-4%29%286U-15%29\"$
\n" ); document.write( "Remember to put back x^2 where you had U. We get
\n" ); document.write( "(iv) $\"%28x%5E2-4%29%286x%5E2-15%29\"$
\n" ); document.write( "we can factor even further to get
\n" ); document.write( "(v) $\"%28x%2B2%29%28x-2%29%283%29%282x%5E2-5%29\"$ \n" ); document.write( "

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