document.write( "Question 83531: I AM CONFUSED ON HOW TO ADD AND SUBTRACT A POLYNOMIAL. CAN YOU GIVE ME 1 OR 2 EXAMPLE AND SOLUTIONS ON HOW TO DO THEM. THANK YOU \n" ); document.write( "
Algebra.Com's Answer #60079 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Addition of Polynomials:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Example:\r \n" ); document.write( "\n" ); document.write( "1. Add (14x + 5) and (10x + 5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here we have two binomials..\r \n" ); document.write( "\n" ); document.write( "First write them in a row as follows....\r \n" ); document.write( "\n" ); document.write( "14x + 5 + 10x + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now combine the similar terms.......\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(14x + 10x) + (5 + 5)\r \n" ); document.write( "\n" ); document.write( "While adding terms containing like variable...you should add the constant term first and write the common variable as follows....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> (14 + 10 )x + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 24x + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. Add (19x2 + 12x + 12) and (7x2 + 10x + 13) \r \n" ); document.write( "\n" ); document.write( "Here we have two trinomials(having three terms)\r \n" ); document.write( "\n" ); document.write( "First write them in a row as follows....\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(19x^2 + 12x + 12) +(7x^2 + 10x + 13) \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now combine the similar terms.......\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "19x^2 + 7x^2 + 12x + 10x + 12 + 13 \r \n" ); document.write( "\n" ); document.write( "As I explained in the previous example, While adding terms containing like variable...you should add the constant term first and write the common variable as follows....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> (19 + 7)x^2 + (12 + 10 )x + (12 + 13 )\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 26x^2 + 22x + 25\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtraction of polynomials.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1. (6x + 14) - (9x + 5) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here first remove the parenthesis.....while doing that ...since you have a minus sign just infornt of the second polynomial, you should change the sign of each term of the second polynomial as follows......\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x + 14 - 9x - 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now collect the like terms.....\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x -9x + 14 -5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> (6-9)x + 14 -5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> -5x + 9\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.(19x^2 + 9x + 16) - (5x^2 + 12x + 7)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 19x^2 + 9x + 16 - 5x^2 - 12x - 7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 19x^2 - 5x^2 + 9x - 12x + 16 -7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> (19 -5)x^2 + (9-12)x + 16 -7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 14x^2 - 3x + 9\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |