document.write( "Question 443756: Would you please show me the STEPS to factor the following: 6x^2+12x+6. I know the answer is 6(x+1)^2, I'm just confused as to how to get there. \n" ); document.write( "

Algebra.Com's Answer #306013 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+6x%5E2%2B12x%2B6+\"$
\n" ); document.write( "Divide both sides by $\"6\"$
\n" ); document.write( " $\"+x%5E2+%2B+2x+%2B+1+=+0+\"$
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+1\"$
\n" ); document.write( " $\"b+=+2\"$
\n" ); document.write( " $\"c+=+1\"$
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+2%5E2+-+4%2A1%2A1+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+4+-+4+%29%29+%2F+2+\"$
\n" ); document.write( " $\"x+=+%28-2%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+-1+\"$
\n" ); document.write( "This is called a double root, since the
\n" ); document.write( "equation must have 2 roots, it has the same
\n" ); document.write( "root twice. Plug it back in for $\"x\"$ to check.
\n" ); document.write( "Rewrite it as:
\n" ); document.write( " $\"+x+%2B+1+=+0+\"$ 1st factor
\n" ); document.write( " $\"+x+%2B+1+=+0+\"$ 2nd factor
\n" ); document.write( " $\"+%28x+%2B+1%29%5E2+=+0+\"$ answer
\n" ); document.write( "Note that after you multiply it out as
\n" ); document.write( " $\"+x%5E2+%2B+2x+%2B+1+=+0\"$
\n" ); document.write( "Multiplying both sides by $\"6\"$ doesn't change anything
\n" ); document.write( " \n" ); document.write( "

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