document.write( "Question 370393: How can I factor this trinomial? 4x^2 - 5xy - 6y^2 \n" ); document.write( "
Algebra.Com's Answer #264027 by Alan3354(69443)\"\" \"About 
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It'll be (ax + by)*(cx + dy)
\n" ); document.write( "a*b = 4
\n" ); document.write( "c*d = -6
\n" ); document.write( "ad + bc = -5
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\n" ); document.write( "4 has the factors 1, 2 & 4
\n" ); document.write( "6 has 1, 2, 3 & 6
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\n" ); document.write( "Since c*d = -6, the signs of c & d are different.
\n" ); document.write( "Since the middle term is odd, either ad or bc is odd, but not both. That means either both a & d are odd, or both c & c are odd. this eliminates some possibilities.
\n" ); document.write( "It requires it be (x + by)*(4x ± 3y)
\n" ); document.write( "a*d = ± 3
\n" ); document.write( "To get the -5, bc has to be either +8 or -2
\n" ); document.write( "-2 is not possible, so bc = ± 8, and to get -5 with ± 8 and ± 3 --> -8 and +3.
\n" ); document.write( "--> (x - 2y)*(4x + 3y)
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