document.write( "Question 1187144: Solve the problem\r
\n" ); document.write( "\n" ); document.write( "Find the value of k so that the remainder is -1 when 5x²+kx-25 is divided by x+2.
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Algebra.Com's Answer #818136 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Find the value of k so that the remainder is -1 when 5x²+kx-25 is divided by x+2.
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Use the REMAINDER THEOREM: \"matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+5x%5E2+%2B+kx+-+25%29\". 
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document.write( "Since the factor being used is x + 2, it follows that x + 2 = 0____x = - 2.
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document.write( "\"matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+5x%5E2+%2B+kx+-+25%29\" then becomes: \"matrix%281%2C3%2C+f%28-+2%29%2C+%22=%22%2C+5%28-+2%29%5E2+%2B+k%28-+2%29+-+25%29\"
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document.write( "                                    \"matrix%281%2C3%2C+-+1%2C+%22=%22%2C+5%28-+2%29%5E2+%2B+k%28-+2%29+-+25%29\" ------ Substituting remainder - 1 for f(- 2)
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document.write( "                                     - 1 = 20 - 2k - 25
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document.write( "                                     - 1 = - 5 - 2k
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document.write( "                                 - 1 + 5 = - 2k
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document.write( "                                       4 = - 2k
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document.write( "                                      \"highlight_green%28matrix%281%2C5%2C+k%2C+%22=%22%2C+4%2F%28-+2%29%2C+%22=%22%2C+-+2%29%29\" \n" );
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