document.write( "Question 259024: Can you help me factor the polynomial 3a^2+a-14 \n" ); document.write( "
Algebra.Com's Answer #190709 by drk(1908)\"\" \"About 
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Here is the original problem
\n" ); document.write( "\"3a%5E2%2Ba-14\"
\n" ); document.write( "there are several ways to factor. The basic idea is to get (ax+b)(cx+d)
\n" ); document.write( "--
\n" ); document.write( "step 1 - multiply 3 and 14 to get 42.
\n" ); document.write( "we want 2 factors of 42 that add to 1, but are different signs.
\n" ); document.write( "we get 7 + (-6)
\n" ); document.write( "--
\n" ); document.write( "step 2 - replace 1a with 7a - 6a like this
\n" ); document.write( "\"3a%5E2+-+6a+%2B+7a+-+14\"
\n" ); document.write( "step 3 - group the first pair and last pair and find the GCF of each like this
\n" ); document.write( "\"%283a%5E2+-+6a%29+%2B+%287a+-+42%29\"
\n" ); document.write( "finding GCF's we get
\n" ); document.write( "\"3a%28a+-+2%29+%2B+7%28a+-+2%29\"
\n" ); document.write( "notice the parenthesis are the same; this is what we want to happen.
\n" ); document.write( "step 4 - find another GCF as
\n" ); document.write( "\"%28a-2%29%283a%2B7%29\"
\n" ); document.write( "and you have factored.
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