document.write( "Question 194722: For what real number k does 3x2 k factor as
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Algebra.Com's Answer #146090 by jim_thompson5910(35256) $\"\"$ $\"About$

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Since we want $\"3x%5E2-k\"$ to factor to $\"3%28x-2%29%28x%2B2%29\"$ , this means that we want $\"3x%5E2-k=3%28x-2%29%28x%2B2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-k=3%28x-2%29%28x%2B2%29\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-k=3%28x%5E2%2B2x-2x-4%29\"$ FOIL\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-k=3%28x%5E2-4%29\"$ Combine like terms.
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\n" ); document.write( "\n" ); document.write( " $\"3x%5E2-k=3x%5E2-12\"$ Distribute\r
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\n" ); document.write( "\n" ); document.write( " $\"-k=-12\"$ Subtract $\"3x%5E2\"$ from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"k=12\"$ Divide both sides by -1 to isolate \"k\".\r
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\n" ); document.write( "\n" ); document.write( "So the solution is $\"k=12\"$ which means that $\"3x%5E2-12\"$ factors to $\"3%28x-2%29%28x%2B2%29\"$ \n" ); document.write( "

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