document.write( "Question 29197: How to find all possible values of b such that x^2+bx+12 can be factored. \n" ); document.write( "
Algebra.Com's Answer #16034 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
i assume you mean all possible INTEGER values of b? If not, then there are an infinite number of answers...\r
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\n" ); document.write( "\n" ); document.write( "For just integers:
\n" ); document.write( "1*12
\n" ); document.write( "2*6
\n" ); document.write( "3*4\r
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\n" ); document.write( "\n" ); document.write( "are pairs that multiply to give 12. Since both bx and 12 are both +ve, then the factors are both +ve too, so the middle term will be one of the following:
\n" ); document.write( "1*12 --> 13
\n" ); document.write( "2*6 --> 8
\n" ); document.write( "3*4 --> 7\r
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\n" ); document.write( "\n" ); document.write( "So b is either 13 or 8 or 7\r
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\n" ); document.write( "\n" ); document.write( "Jon.
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