document.write( "Question 777975: How can I factor this by grouping
\n" ); document.write( "5x^3-20x^2+9x-36
\n" ); document.write( "

Algebra.Com's Answer #474355 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"5x%5E3-20x%5E2%2B9x-36\" Start with the given expression\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%285x%5E3-20x%5E2%29%2B%289x-36%29\" Group the terms in two pairs\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5x%5E2%28x-4%29%2B9%28x-4%29\" Factor out the GCF \"5x%5E2\" out of the first group. Factor out the GCF \"9\" out of the second group\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%285x%5E2%2B9%29%28x-4%29\" Since we have the common term \"x-4\", we can combine like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"5x%5E3-20x%5E2%2B9x-36\" factors to \"%285x%5E2%2B9%29%28x-4%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"5x%5E3-20x%5E2%2B9x-36=%285x%5E2%2B9%29%28x-4%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );