document.write( "Question 658853: what are the stages to working out how to factorise 6x^2+13x+6. Do you have to work out the factors of 36 first?
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Algebra.Com's Answer #410501 by Shana-D77(132)\"\" \"About 
You can put this solution on YOUR website!
6x^2+13x+6
\n" ); document.write( "My high school teachers told me to \"guess and check\" This method is a mess. Below is the method. Here's a video if the blow doesn't make sense: http://www.youtube.com/watch?v=tPkgssssMZQ\r
\n" ); document.write( "\n" ); document.write( "Ax^2 + Bx + c
\n" ); document.write( "6x^2+13x+6
\n" ); document.write( "A = 6
\n" ); document.write( "B = 13
\n" ); document.write( "C = 6
\n" ); document.write( "AC = 36
\n" ); document.write( "Q: What numbers add to get B that multiply to get AC?
\n" ); document.write( "A: 4*9
\n" ); document.write( "Now rewrite with 9 and 4:
\n" ); document.write( "6x^2+13x+6
\n" ); document.write( "6x^2 + 4x + 9x + 6
\n" ); document.write( "Now parenthesize:
\n" ); document.write( "(6x^2 + 4x) + (9x + 6)
\n" ); document.write( "Mpw factor each ( ), leavig thet + in the middle:
\n" ); document.write( "2x(3x + 2) + 3(3x + 2)
\n" ); document.write( "The ( ) will always be the same. When in doubt, let your first ( ) lead the way to finding your second one.
\n" ); document.write( "Now, write the stuff on the outside of the ( ): \"2x + 3\":
\n" ); document.write( "(2x + 3)
\n" ); document.write( "Next to one of the inside ( ):
\n" ); document.write( "(3x + 2)
\n" ); document.write( "So you have:
\n" ); document.write( "(2x + 3)(3x + 2)\r
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