document.write( "Question 1044084: Hello,\r
\n" ); document.write( "\n" ); document.write( "I need help with the following math problem:\r
\n" ); document.write( "\n" ); document.write( "\"What is the product of all constants $\"+k+\"$ such that the quadratic $\"+x%5E2%2Bkx%2B15+\"$ can be factored in the form $\"+%28x%2Ba%29%28x%2Bb%29+\"$ , where $\"+a+\"$ and $\"+b+\"$ are integers?\"\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Nicole \n" ); document.write( "

Algebra.Com's Answer #659320 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
The only factorizations of $\"+x%5E2%2Bkx%2B15+\"$ with integer coefficients are\r
\n" ); document.write( "\n" ); document.write( "(x+1)(x+15),
\n" ); document.write( "(x+3)(x+5),
\n" ); document.write( "(x-1)(x-15), and
\n" ); document.write( "(x-3)(x-5).\r
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\n" ); document.write( "\n" ); document.write( "The coefficient of x in each case is 16, 8, -16, and -8, respectively, and their product is $\"16%2A8%2A-16%2A-8+=+16384\"$ .\r
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