document.write( "Question 134831: Tutor how do I factor 3y^2-14y-24 do I have to find out what y is first? Thank you. \n" ); document.write( "
Algebra.Com's Answer #98668 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! factor 3y^2-14y-24 \n" ); document.write( "Use the AC Method: \n" ); document.write( "AC = 3*-24 = -72 \n" ); document.write( "B = -14 \n" ); document.write( "--------------- \n" ); document.write( "Think of two numbers whose sum is -72 and whose product is -14 \n" ); document.write( "The numbers are -18 and +4 \n" ); document.write( "------------------------------ \n" ); document.write( "Rewrite the original problem putting -18y+4y in place of -14y:\r \n" ); document.write( "\n" ); document.write( "= 3y^2-18y+4y-24\r \n" ); document.write( "\n" ); document.write( "Factor the 1st two and the last two terms separately:\r \n" ); document.write( "\n" ); document.write( "= 3y(y-6)+4(y-6)\r \n" ); document.write( "\n" ); document.write( "Factor again:\r \n" ); document.write( "\n" ); document.write( "= (y-6)(3y+4)\r \n" ); document.write( "\n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |