document.write( "Question 419328: 2x^3 - 10 + 4x^2 - 5x
\n" ); document.write( "Factor by grouping \n" ); document.write( "

Algebra.Com's Answer #293269 by duckness73(47) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, let's rearrange the terms:\r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E3+-+10+%2B+4x%5E2+-+5x\"$ = $\"2x%5E3+%2B+4x%5E2+-+5x+-+10\"$ \r
\n" ); document.write( "\n" ); document.write( "Now, lets take $\"2x%5E2\"$ out of the first two terms:
\n" ); document.write( " $\"2x%5E3+%2B+4x%5E2+-+5x+-+10\"$ = $\"2x%5E2\"$ (x + 2) - 5x - 10\r
\n" ); document.write( "\n" ); document.write( "Now, lets take out -5 from the second two terms:
\n" ); document.write( " $\"2x%5E2\"$ (x + 2) - 5x - 10 = $\"2x%5E2\"$ (x + 2) - 5(x + 2)\r
\n" ); document.write( "\n" ); document.write( "Notice now that x + 2 is a factor in both terms, so we can factor that out, too:
\n" ); document.write( "(x + 2)( $\"2x%5E2\"$ - 5)\r
\n" ); document.write( "\n" ); document.write( "There's your factoring by grouping.\r
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