document.write( "Question 17092: 3n squared + 21n - 24 factor completely how do you do this? \n" ); document.write( "

Algebra.Com's Answer #8270 by Earlsdon(6294) $\"\"$ $\"About$

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Factor completely:
\n" ); document.write( " $\"3n%5E2+%2B+21n+-+24\"$ First, factor a 3.
\n" ); document.write( " $\"3%28n%5E2+%2B+7n+-+8%29\"$ Now for the parentheses, look for two integers whose sum is +7 and whose product is -8.
\n" ); document.write( " Try -1 and 8. (-1)+(8) = 7, and (-1)(8) = -8\r
\n" ); document.write( "\n" ); document.write( "The factors of $\"n%5E2+%2B+7n+-+8\"$ are: (n - 1)(n + 8)\r
\n" ); document.write( "\n" ); document.write( "Finally:\r
\n" ); document.write( "\n" ); document.write( " $\"3n%5E2+%2B+21n+-+24+=+3%28n+-+1%29%28n+%2B+8%29\"$ \n" ); document.write( "

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