document.write( "Question 174853: What are the factors of q^3-q^2+2q-2? \n" ); document.write( "

Algebra.Com's Answer #129928 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( " $\"q%5E3-q%5E2%2B2q-2\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%28q%5E3-q%5E2%29%2B%282q-2%29\"$ Group like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"q%5E2%28q-1%29%2B2%28q-1%29\"$ Factor out the GCF $\"q%5E2\"$ 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( " $\"%28q%5E2%2B2%29%28q-1%29\"$ Since we have the common term $\"q-1\"$ , we can combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So $\"q%5E3-q%5E2%2B2q-2\"$ factors to $\"%28q%5E2%2B2%29%28q-1%29\"$ which means that the factors are $\"q%5E2%2B2\"$ and $\"q-1\"$
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