document.write( "Question 155371This question is from textbook elementary and intermediate algebra
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document.write( ": Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. Give an example with your explanation.please help, i dont understand this at all.. \n" );
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Algebra.Com's Answer #114412 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. Give an example with your explanation.please help, \n" ); document.write( "----------------- \n" ); document.write( "Example: \n" ); document.write( "x^2 + 5x + 6 \n" ); document.write( "Think of two numbers whose product is 6 and whose sum is 5 \n" ); document.write( "The numbers are 3 and 2 \n" ); document.write( "--------------------------- \n" ); document.write( "Rewrite the equation replacing 5x by 3x+2x to get: \n" ); document.write( "x^2 + 3x + 2x + 6 \n" ); document.write( "---------- \n" ); document.write( "Factor the 1st two and the last two terms separately to get: \n" ); document.write( "x(x+3)+ 2(x+3) \n" ); document.write( "Factor again to get: \n" ); document.write( "(x+3)(x+2) \n" ); document.write( "----------------- \n" ); document.write( "That is an example of \"inverse FOIL\"; it is also sometimes \n" ); document.write( "called \"the AC Method of factoring\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |