document.write( "Question 1153869: Hello to all! I have been tackling this problem for the past 4 hours, and sadly with no luck!\r
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document.write( "The function f(x)=x^3+3x^2+kx-4. The remainder when f(x) is divided by (x+2) is triple the remainder when f(x) is divided by (x-2). Determine the value of k. \r
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document.write( "At first I used (x-2), and let the value for x=2. Input 2 into the equation to find the value of K which i get -8. However when I try to do the division with both values to find the remainder to confirm my answer, everything goes haywire! Please help me :( \n" );
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Algebra.Com's Answer #776201 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The key to solving this problem is the Remainder theorem, as tutor @greenestamps showed to you in his post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you do not know this theorem, you will NEVER solve this problem. \n" ); document.write( "You even will never know how and where to start (!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But, in opposite, if you DO KNOW the theorem, then you will be able to solve this \n" ); document.write( "and hundreds other similar problems, that otherwise, you think, seem to be unsolvable, from the first glance (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To learn about the Remainder theorem and to see many other nice problems, solved with it, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Divisibility of polynomial f(x) by binomial x-a and the Remainder theorem\r \n" ); document.write( "\n" ); document.write( " - Solved problems on the Remainder thoerem\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |