document.write( "Question 1187138: Solve each problem.\r
\n" ); document.write( "\n" ); document.write( "1. Find the value of k so that the remainder is 25 when kx²-x+1 is divided by
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\n" ); document.write( "\n" ); document.write( "2.Find the value of k so that the remainder is -1 when 5x²+kx-25 is divided by
\n" ); document.write( " x+2. \n" ); document.write( "

Algebra.Com's Answer #818076 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Solve each problem.
\n" ); document.write( "1. Find the value of k so that the remainder is 25 when kx²-x+1 is divided by x-3.
\n" ); document.write( "2. Find the value of k so that the remainder is -1 when 5x²+kx-25 is divided by x+2.
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document.write( "(1)  Due to the Remainder theorem, this passage\r\n" );
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document.write( "         \" the remainder is  25  when    is divided by  x-3 \"\r\n" );
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document.write( "     means that the value of the polynomial is equal to 25  at  x = 3.\r\n" );
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document.write( "     So, we substitute x= 3 into the polynomial and equate it to 25.\r\n" );
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document.write( "     It gives us an equation   = 25,\r\n" );
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document.write( "     from which we find k\r\n" );
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document.write( "           9k - 3 + 1 = 25\r\n" );
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document.write( "           9k -2 = 25\r\n" );
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document.write( "           9k    = 25 + 2 = 27\r\n" );
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document.write( "            k             = 27/9 = 3.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solve part (2) by THE SAME WAY on your own.\r
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