document.write( "Question 1085317: Please help me solve this
\n" );
document.write( "(30x^3-8x^2-6x-3)/(5x+2)
\n" );
document.write( "The answer should take the following form, such that q(x) is the quotient, r(x) is the remainder, and b(x) is the divisor.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #699398 by Theo(13342)![]() ![]() You can put this solution on YOUR website! here's my worksheet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first i divided 30x^3 by 5x to get 6x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i multiplied (5x + 2) by 6x^2 to get (30x^3 + 12x^2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i subtracted (30x^3 + 12x^2) from (30x^3 - 8x^2) to get -20x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i brought down -6x to get (-20x^2 - 6x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i divided -20x^2 by 5x to get -4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i multiplied (5x + 2) by -4x to get (-20x^2 - 8x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i subtracted (-20x^2 - 8x) from (-20x^2 - 6x) to get 2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i brought down -3 to get (2x - 3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i divided 2x by 5x to get 2/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i multiplied (5x + 2) by 2/5 to get (2x + 4/5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i subtracted (2x + 4/5) from (2x - 3) to get -19/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then i stopped because the degree of -19/5 is less than the degree of 5x + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-19/5 is the remainder and is written as -(19/5) / (5x + 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the dividend is the original expression of 30x^3 - 8x^2 - 6x - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the divisor is 5x + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the quotient is the result of the division and is 6x^2 - 4x + 2/5 - (19/5) / (5x + 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a tutorial on how to do long division.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/long_division/long_division.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's an online long division calculator that gives you the same result.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here are the inputs to and outputs from this calculator\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |