document.write( "Question 846565: i can figure out how to find the GCF for polynominals. I see what others put as an answer but I dont know how they got it. For example, whats the gcf for iliteral terms: m^7n^4p^3 and mn^12p^3 \n" ); document.write( "
Algebra.Com's Answer #509837 by Theo(13342)![]() ![]() You can put this solution on YOUR website! put multiplication symbols between the variables so you know what's being multiplied by what.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(m^7 * n^4 * p^3) +/- (m * n^12 * p^3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you look for the common factor that can be divided into this expression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that common factor is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(m * n^4 * p^3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is because m divides evenly into m^7 and m, \n" ); document.write( "n^4 divides evenly into n^4 and n^12, \n" ); document.write( "and p^3 divides evenly into p^3 and p^3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is also the factor that will be brought out of that original expression after the division has been performed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your expression will look like this after the division has been performed:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(m * n^4 * p^3) * (m^6 + n^8)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you multiply these factors together, you will get the original expression.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |