document.write( "Question 83711: Factor the trinomial 4x2 + 24x + 11 on your paper. Which of the following would be part of the factored answer?
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Algebra.Com's Answer #60193 by stanbon(75887) ![]() You can put this solution on YOUR website! Factor the trinomial 4x^2 + 24x + 11 \n" ); document.write( "Think of two numbers whose product is 4*11 = 44 \n" ); document.write( "and whose sum is 24. \n" ); document.write( "The numbers are 22 and 2. \n" ); document.write( "So, Replace 24x by 22x+2x to get: \n" ); document.write( "=4x^2+22x+2x+11\r \n" ); document.write( "\n" ); document.write( "Factor the 1st two and the last two terms separately:\r \n" ); document.write( "\n" ); document.write( "=2x(2x+11)+1(2x+11)\r \n" ); document.write( "\n" ); document.write( "Factor again to get:\r \n" ); document.write( "\n" ); document.write( "=(2x+11)(2x+1)\r \n" ); document.write( "\n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |