document.write( "Question 70783: Factor by grouping:\r
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document.write( "3b^2+16b+5\r
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document.write( "I am having a very hard time with this. Is there any trick or hints you can provide?\r
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Algebra.Com's Answer #50559 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Factor by grouping:\r \n" ); document.write( "\n" ); document.write( "3b^2+16b+5 \n" ); document.write( "-------------- \n" ); document.write( "Think of two numbers whose product is 3*5=15 \n" ); document.write( "and whose sum is 16 \n" ); document.write( "------------ \n" ); document.write( "The numbers are 1 and 15 \n" ); document.write( "----------- \n" ); document.write( "Replace 16b in the problem with b+15b to get: \n" ); document.write( "3b^2+b+15b+5 \n" ); document.write( "Factor the 1st two terms and the last two terms separately: \n" ); document.write( "b(3b+1) + 5(3b+1) \n" ); document.write( "Factor out the common factor of (3b+1) to get: \n" ); document.write( "(3b+1)(b+5 \n" ); document.write( "Those are the factors you want. \n" ); document.write( "This method is called the AC method because you wanted to find \n" ); document.write( "two numbers whose product was AC=3*5=15. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |