document.write( "Question 172910: f(x)=x^3-4x\r
\n" ); document.write( "\n" ); document.write( "(Hint: x=1 is a triple root)\r
\n" ); document.write( "\n" ); document.write( "please explain step by step\r
\n" ); document.write( "\n" ); document.write( "I would really really appreciate any help
\n" ); document.write( "

Algebra.Com's Answer #127753 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'm assuming that you want to find the roots? Please post full instructions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E3-4x\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=x%5E3-4x\" Plug in \"f%28x%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=x%28x%5E2-4%29\" Factor out the GCF \"x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=x%28x%2B2%29%28x-2%29\" Factor \"x%5E2-4\" to get \"%28x%2B2%29%28x-2%29\" (by using the difference of squares)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=0\", \"x%2B2=0\" or \"x-2=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=0\", \"x=-2\" or \"x=2\" Now solve for x in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the roots are \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \"x=0\", \"x=-2\" or \"x=2\"
\n" ); document.write( "
\n" );