document.write( "Question 200040: 8w^5+12w^2-10w^3-15 factor by grouping \n" ); document.write( "

Algebra.Com's Answer #150403 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"8w%5E5%2B12w%5E2-10w%5E3-15\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%288w%5E5%2B12w%5E2%29%2B%28-10w%5E3-15%29\"$ Group like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"4w%5E2%282w%5E3%2B3%29-5%282w%5E3%2B3%29\"$ Factor out the GCF $\"4w%5E2\"$ out of the first group. Factor out the GCF $\"-5\"$ out of the second group\r
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\n" ); document.write( "\n" ); document.write( " $\"%284w%5E2-5%29%282w%5E3%2B3%29\"$ Since we have the common term $\"2w%5E3%2B3\"$ , we can combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So $\"8w%5E5%2B12w%5E2-10w%5E3-15\"$ factors to $\"%284w%5E2-5%29%282w%5E3%2B3%29\"$
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