document.write( "Question 376726: Find a positive value for k for which the polynomial can be factored. x^2-ky+29 \n" ); document.write( "

Algebra.Com's Answer #267972 by robertb(5830) $\"\"$ $\"About$

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There's a little catch here: IF you're looking for the the factorization of
\n" ); document.write( " $\"x%5E2-kx%2B29\"$ into linear factors having INTEGER COEFFICIENTS, then there are only two answers: k = 30 or -30.
\n" ); document.write( "But if you allow factorization with REAL COEFFICIENTS, then the discriminant $\"b%5E2+-+4ac\"$ would yield $\"k%5E2+-+116%3E=0\"$ , so that k should come from the set ( $\"2sqrt%2829%29\"$ , $\"infinity\"$ ).
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