document.write( "Question 149132: I need help with factoring the following expressions:\r
\n" ); document.write( "\n" ); document.write( " Determine the greatest common factor, 2x + 12x2 - 2x3 and
\n" ); document.write( " 27x4 + 21x2 - 9x. \n" ); document.write( "

Algebra.Com's Answer #109391 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Determine the GCF of:
\n" ); document.write( "1) $\"2x%2B12x%5E2-2x%5E3\"$
\n" ); document.write( "First, notice that every term There are three terms) has an x in it. The lowest power of these is $\"x+=+x%5E1\"$ , so this can be factored from the trinomial.
\n" ); document.write( " $\"2%2Ax%2B12x%2Ax-2x%5E2%2Ax\"$ Factor the x.
\n" ); document.write( " $\"x%282%2B12x-2x%5E2%29\"$ Further notice that in each term, every coefficient is a multiple of 2, so you can factor 2 from the trinomial.
\n" ); document.write( " $\"x%282%2A1%2B2%2A6x-2%2Ax%5E2%29\"$ Factor the 2.
\n" ); document.write( " $\"2x%281%2B6x-x%5E2%29\"$
\n" ); document.write( "2) $\"27x%5E4%2B21x%5E2-9x\"$ Again, every term has an x to some power, and the lowest power is 1 $\"x+=+x%5E1\"$ . Also, every coefficient is a multiple of 3, so this can be factored.
\n" ); document.write( " $\"3x%289x%5E3%2B7x-3%29\"$ \n" ); document.write( "

\n" );