document.write( "Question 139597This question is from textbook
\n" ); document.write( ": factoring using the Distributive property.\r
\n" ); document.write( "\n" ); document.write( "x3+3x2-4x-12 \n" ); document.write( "

Algebra.Com's Answer #101786 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"x%5E3%2B3x%5E2-4x-12\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E3%2B3x%5E2%29%2B%28-4x-12%29\"$ Group like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%28x%2B3%29-4%28x%2B3%29\"$ Factor out the GCF $\"x%5E2\"$ out of the first group. Factor out the GCF $\"-4\"$ out of the second group\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-4%29%28x%2B3%29\"$ Since we have the common term $\"x%2B3\"$ , we can combine like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%2B2%29%28x-2%29%28x%2B3%29\"$ Factor $\"x%5E2-4\"$ by using the difference of squares to get $\"%28x%2B2%29%28x-2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "So $\"x%5E3%2B3x%5E2-4x-12\"$ factors to $\"%28x%2B2%29%28x-2%29%28x%2B3%29\"$ \n" ); document.write( "

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