document.write( "Question 722870: Say you have a question asking you to factor 4x^2+19x+12=0 I know that the first step would be to separate 19x into something like 10x and 9x. Next you put it back in and get 4x^2+10x+9x+12=0. From there i got x(4x+5)but im not sure what to do what to finish this. \n" ); document.write( "
Algebra.Com's Answer #442896 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Just looking at the polynomial, a person would usually not know, but these arrangements should be examined:\r \n" ); document.write( "\n" ); document.write( "(4x______)(x_______), \n" ); document.write( "and \n" ); document.write( "(2x_____)(2x________). \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Look for a pairs of numbers which give product of 12, but when the resulting \"I\" and \"O\" products are summed, give 19x. I am specifically referring to the F.O.I.L. multiplication process for two binomials.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F.O.I.L. stands for \"first, outer, inner, last.\" \n" ); document.write( "As an example, (a+b)(c+d), first is ac, outer is ad, inner is bc, last is bd. \n" ); document.write( " |