document.write( "Question 165521: please explain how to reverse the FOIL method when factoring a polynomial of the form ax^2+bx+c when a=1. Please give an example so that I might understand better. \n" ); document.write( "
Algebra.Com's Answer #122001 by scott8148(6628)\"\" \"About 
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start with two binomials, x+j and x+k\r
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\n" ); document.write( "\n" ); document.write( "FOILing gives __ x^2+kx+jx+kj __ x^2+(k+j)x+kj\r
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\n" ); document.write( "\n" ); document.write( "the factors of the c term are k and j __ the sum of those factors is the b term\r
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\n" ); document.write( "\n" ); document.write( "reverse FOILing is finding factors of c that sum to b\r
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\n" ); document.write( "\n" ); document.write( "EX. __ x^2-5x+6 __ factors of 6 are (±1, ±6) and (±2, ±3)
\n" ); document.write( "__ -2 plus -3 is -5
\n" ); document.write( "__ x^2-5x+6=(x-2)(x-3)
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