document.write( "Question 66274: $\"12m%5E3-8m%5E2-15m\"$ \r
\n" ); document.write( "\n" ); document.write( "How do I factor this \n" ); document.write( "

Algebra.Com's Answer #46975 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"12m%5E3-8m%5E2-15m\"$ First, factor out an m.
\n" ); document.write( " $\"m%2812m%5E2-8m-15%29\"$ Now you need to try to factor the parentheses.
\n" ); document.write( " $\"12m%5E2-8m-15\"$
\n" ); document.write( "Find the factors of 12.
\n" ); document.write( "1X12 = 12
\n" ); document.write( "2X6 = 12
\n" ); document.write( "3X4 = 12
\n" ); document.write( "Now factor the -15.
\n" ); document.write( "1X(-15) or (-1)X15 = -15
\n" ); document.write( "3X(-5) or (-3)X5 = -15
\n" ); document.write( "Let's try:
\n" ); document.write( " $\"%2812m+%2B+1%29%28m+-+15%29+=+12m%5E2+-+180m+%2B+m+-+15\"$ Nope!
\n" ); document.write( " $\"%282m+%2B+3%29%286m+-+5%29+=+12m%5E2+-10m+%2B+18m+-+15\"$ = $\"12m%5E2+%2B+8m+-+15\"$ Almost there! Lets switch the signs around.
\n" ); document.write( " $\"2m+-+3%29%286m+%2B+5%29+=+12m%5E2+%2B+10m+-+18m+-+15\"$ = $\"12m%5E2+-+8m+-+15\"$ That's it!..So, putting it all together:
\n" ); document.write( " $\"12m%5E3+-+8m%5E2+-+15m+=+m%282m+-+3%29%286m+%2B+5%29\"$ \n" ); document.write( "

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