document.write( "Question 1095572: If the remainder when x^3-ax^2-5x+4 is divided by (x-3) is 97 what is the value of a \n" ); document.write( "
Algebra.Com's Answer #710077 by ikleyn(52810)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Apply the remainder theorem:\r\n" );
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document.write( "      The remainder of dividing  of a polynomial  P(x) (ANY POLYNOMIAL !!) by the binomial (x-a) is equal \r\n" );
document.write( "       to the value P(a) of the polynomial at x= a.\r\n" );
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document.write( "And you will get for your case\r\n" );
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document.write( "      3^3 - a*3^2 - 5*3 + 4 = 97.    (1)\r\n" );
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document.write( "It is your equation to determine the value of \"a\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now you can complete the assignment on your own, by finding \"a\" from the equation (1).\r
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\n" ); document.write( "On the Remainder theorem,  see my lessons in this site\r
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\n" ); document.write( "\n" ); document.write( "    - Divisibility of polynomial f(x) by a binomial (x-a) and the Remainder theorem \r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on the Remainder thoerem\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
\n" ); document.write( "\"Divisibility of polynomial f(x) by binomial (x-a). The Remainder theorem\".\r
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