document.write( "Question 268378: factor the trinomial: 6r^2-60r+126 \n" ); document.write( "
Algebra.Com's Answer #197126 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 6r^2-60r+126 \n" ); document.write( "----- \n" ); document.write( "Common factor: 6 \n" ); document.write( "---- \n" ); document.write( "= 6(r^2-10r+21) \n" ); document.write( "Think of two numbers whose product is 21 and whose sum is -10. \n" ); document.write( "The numbers are -7 and -3 \n" ); document.write( "Replace -10r by -7r-3r \n" ); document.write( "--- \n" ); document.write( "= 6(r^2-7r-3r+21) \n" ); document.write( "Factor the 1st 2 and the last 2 terms separately. \n" ); document.write( "--- \n" ); document.write( "= 6[(r(r-7)-3(r-7)] \n" ); document.write( "Factor again: \n" ); document.write( "= 6[(r-7)(r-3)] \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |