document.write( "Question 117165: Factor by grouping. x^3 – 5x^2 + 2x – 10. \n" ); document.write( "

Algebra.Com's Answer #85202 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"x%5E3-5x%5E2%2B2x-10\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E3-5x%5E2%29%2B%282x-10%29\"$ Group like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%28x-5%29%2B2%28x-5%29\"$ Factor out the GCF $\"x%5E2\"$ out of the first group. Factor out the GCF $\"2\"$ out of the second group\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2B2%29%28x-5%29\"$ Since we have the common term $\"x-5\"$ , we can combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So $\"x%5E3-5x%5E2%2B2x-10\"$ factors to $\"%28x%5E2%2B2%29%28x-5%29\"$
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