document.write( "Question 5886: Factor 3y^2-8y+4\r
\n" ); document.write( "\n" ); document.write( "I am using the decomposition method. I am only stuck on step 6 of the question...the two factors.\r
\n" ); document.write( "\n" ); document.write( "This is what I have so far...\r
\n" ); document.write( "\n" ); document.write( "-6, -2
\n" ); document.write( "3y^2-6y-2y+4
\n" ); document.write( "3y(y-2)-2(y-2)
\n" ); document.write( "...the answer book says that the two factors are:
\n" ); document.write( "(3y-2) (y-2) \r
\n" ); document.write( "\n" ); document.write( "Why is this so?
\n" ); document.write( "

Algebra.Com's Answer #3077 by Abbey(339)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "If we were looking at the problem:
\n" ); document.write( "3y(x)-2(x), we would immediately recognize that we could factor out the x, and be left with:
\n" ); document.write( "(x)(3y-2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your solution is missing this next step. You are correct up to here:
\n" ); document.write( "\"3y%28y-2%29-2%28y-2%29\"\r
\n" ); document.write( "\n" ); document.write( "Now factor out the (y-2):
\n" ); document.write( "\"%28y-2%29%283y-2%29\"
\n" ); document.write( "
\n" );