document.write( "Question 94592: university of phoenix elementary and intermediate algebra factor each trinominal by using the ac method 15x2 - 7x -2 \n" ); document.write( "
Algebra.Com's Answer #68904 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! 15x2 - 7x -2 \n" ); document.write( " [split the middle or \"c\" term into two terms] \n" ); document.write( ". \n" ); document.write( "Technique for finding the middle or \"c\" term: \n" ); document.write( "Factor 15x^2: (3x)(5x) \n" ); document.write( "Factor 2: (-2)(1) \n" ); document.write( "Look for combinations amongst the factors that will add up to (-7) \n" ); document.write( "The combination will be (5x)(-2)+(3x)(1)= -10x+3x=-7x \n" ); document.write( ". \n" ); document.write( "Re-write the expression: \n" ); document.write( "15x^2-10x+3x-2 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "15x^2-10x+3x-2 [factoring using the grouping method] \n" ); document.write( "15x^2+3x-10x-2 [obtained through trial-and-error] \n" ); document.write( "3x(5x+1)-2x(5x+1) \n" ); document.write( "(3x-2x)(5x+1)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |