document.write( "Question 862077: $\"%28x%5E2%2B7x%2B12%29%2F%282x%5E2-6x-36%29\"$ \n" ); document.write( "

Algebra.Com's Answer #519445 by ben720(159) $\"\"$ $\"About$

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$\"%28x%5E2%2B7x%2B12%29%2F%282x%5E2-6x-36%29\"$
\n" ); document.write( "Factor out a 2 on the bottom
\n" ); document.write( " $\"%28x%5E2%2B7x%2B12%29%2F%282%28x%5E2-3x-18%29%29\"$
\n" ); document.write( "To factor (x^2-3x-18), find the numbers that multiply to -18 and add to -3. These numbers are -6 and 3.
\n" ); document.write( " $\"%28x%5E2%2B7x%2B12%29%2F%282%28x-6%29%28x%2B3%29%29\"$
\n" ); document.write( "To factor (x^2+7x+12), find the numbers that multiply to 12 and add to 7. These numbers are 3 and 4.
\n" ); document.write( " $\"%28x%2B3%29%28x%2B4%29%2F2%28x-6%29%28x%2B3%29\"$
\n" ); document.write( "Because x+3 is on both sides of the fraction, you can cancel those out.
\n" ); document.write( " $\"%28x%2B4%29%2F2%28x-6%29\"$
\n" ); document.write( "This equation is now fully factored. \n" ); document.write( "

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