document.write( "Question 983376: Find a positive value for k for which the polynomial can be factored. x^2 – kx + 29 \n" ); document.write( "
Algebra.Com's Answer #604150 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Here are all of the ways to multiply to 29 (using 2 whole numbers only)\r
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\n" ); document.write( "\n" ); document.write( "1*29 = 29
\n" ); document.write( "-1*(-29) = 29\r
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\n" ); document.write( "\n" ); document.write( "The first factorization 1*29 has the factors add to 1+29 = 30.
\n" ); document.write( "The second factorization -1*(-29) has the factors add to -1+(-29) = -30. \r
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\n" ); document.write( "\n" ); document.write( "So k is either +30 or -30. Because we only want a positive number for k, we have k = 30.\r
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\n" ); document.write( "\n" ); document.write( "The form is x^2 – kx + 29. If k = 30, then we have x^2 – 30x + 29 factoring to (x - 29)(x - 1)\r
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\n" ); document.write( "\n" ); document.write( "So the final answer is k = 30\r
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