document.write( "Question 142883: Factor:\r
\n" ); document.write( "\n" ); document.write( "6x2nd power + x -2 \n" ); document.write( "

Algebra.Com's Answer #103978 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"6x%5E2%2Bx-2\"$
\n" ); document.write( "Try this: Multiply the coefficient of x^2 (6) by the constant term (-2) to get -12.
\n" ); document.write( "Now what are the factors of -12 that add up to coefficient of x (1)?
\n" ); document.write( "How about (4)*(-3) = -12 and (4)+(-3) = 1.
\n" ); document.write( "Next, rewrite the equation as:
\n" ); document.write( " $\"6x%5E2%2B4x-3x+-2\"$ Factor this by grouping.
\n" ); document.write( " $\"%286x%5E2%2B4x%29-%283x%2B2%29\"$ Factor.
\n" ); document.write( " $\"2x%283x%2B2%29-%283x%2B2%29\"$ Factor out the (3x+2)
\n" ); document.write( " $\"%283x%2B2%29%282x-1%29\"$ and there you have it! \n" ); document.write( "

\n" );