document.write( "Question 822129: x^3 - 2x^2 + 7x - 14 \n" ); document.write( "

Algebra.Com's Answer #494655 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E3+-+2x%5E2+%2B+7x+-+14\"$
\n" ); document.write( "This can be factored pretty easily using the factoring by grouping method:
\n" ); document.write( "First make each half a group:
\n" ); document.write( " $\"%28x%5E3+-+2x%5E2%29+%2B+%287x+-+14%29\"$
\n" ); document.write( "Then factor out the greatest common factor (GCF) from each group:
\n" ); document.write( " $\"x%5E2%28x+-+2%29+%2B+7%28x+-+2%29\"$
\n" ); document.write( "Then, if you're lucky, the \"non-GCF\" factors in each group match. (As you can see, we are lucky. The (x-2)'s match.) When the \"non-GCF\" factors match, factor that factor out of each group:
\n" ); document.write( " $\"red%28x%5E2%29%28x+-+2%29+%2B+red%287%29%28x+-+2%29\"$
\n" ); document.write( " $\"%28x+-+2%29%28red%28x%5E2+%2B+7%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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