document.write( "Question 738900: I am a new student and the SOLs are very close and I'm very lost! Now were working on factoring numbers the problems 3x^2-9x+6 \n" ); document.write( "

Algebra.Com's Answer #450957 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
factor:
\n" ); document.write( " $\"+3x%5E2+-+9x+%2B+6+\"$
\n" ); document.write( "Set it equal to zero
\n" ); document.write( " $\"+3x%5E2+-+9x+%2B+6++=+0+\"$
\n" ); document.write( "Divide both sides by $\"+3+\"$
\n" ); document.write( " $\"+x%5E2+-+3x+%2B+2+=+0+\"$
\n" ); document.write( "Note that $\"+%28-2%29%2A%28-1%29+=+2+\"$
\n" ); document.write( "and $\"+%28-2%29+%2B+%28-1%29+=+-3+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "This leads me to the solution
\n" ); document.write( " $\"+%28+x+-+2+%29%2A%28+x+-+1+%29+=+0+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "There is the more drawn-out way, also
\n" ); document.write( "You know the solution will look like
\n" ); document.write( " $\"+%28+x+%2B+r%5B1%5D+%29%2A%28+x+%2B+r%5B2%5D+%29+=+0+\"$
\n" ); document.write( "where both of $\"+r%5B1%5D+\"$ and $\"+r%5B2%5D+\"$
\n" ); document.write( "can be positive or negative.
\n" ); document.write( "---------------------------
\n" ); document.write( "Expanding:
\n" ); document.write( " $\"+x%5E2+%2B+r%5B1%5D%2Ax+%2B+r%5B2%5D%2Ax+%2B+r%5B1%5D%2Ar%5B2%5D+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+%28+r%5B1%5D+%2B+r%5B2%5D+%29%2Ax+%2B+r%5B1%5D%2Ar%5B2%5D+=+0+\"$
\n" ); document.write( "-------------------------------------
\n" ); document.write( "You are given:
\n" ); document.write( " $\"+x%5E2+-+3x+%2B+2+=+0+\"$
\n" ); document.write( " $\"+r%5B1%5D+%2B+r%5B2%5D+=+-3+\"$
\n" ); document.write( " $\"+r%5B1%5D%2Ar%5B2%5D+=+2+\"$
\n" ); document.write( "----------------
\n" ); document.write( "This shows how I got my solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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