document.write( "Question 154224: Factor the given polynomial
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Algebra.Com's Answer #113528 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"b%5E3-3b%5E2-4b%2B12\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%28b%5E3-3b%5E2%29%2B%28-4b%2B12%29\"$ Group like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"b%5E2%28b-3%29-4%28b-3%29\"$ Factor out the GCF $\"b%5E2\"$ 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( " $\"%28b%5E2-4%29%28b-3%29\"$ Since we have the common term $\"b-3\"$ , we can combine like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"%28b%2B2%29%28b-2%29%28b-3%29\"$ Factor $\"b%5E2-4\"$ by use of the difference of squares formula\r
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\n" ); document.write( "\n" ); document.write( "So $\"b%5E3-3b%5E2-4b%2B12\"$ factors to $\"%28b%2B2%29%28b-2%29%28b-3%29\"$ \r
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