document.write( "Question 402283: \"%28x%5E4-256%29%2F%28x-4%29\" \n" ); document.write( "
Algebra.Com's Answer #284563 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E4-256%29%2F%28x-4%29\"
\n" ); document.write( "
\r\n" );
document.write( "Three ways to do it:\r\n" );
document.write( "\r\n" );
document.write( "Method 1:  Long division:\r\n" );
document.write( "\r\n" );
document.write( "            x³ +  4x² + 16x +  64\r\n" );
document.write( "x - 4)x4 + 0x³ +  0x² +  0x - 256\r\n" );
document.write( "      x4 - 4x³\r\n" );
document.write( "           4x³ +  0x²  \r\n" );
document.write( "           4x³ - 16x²\r\n" );
document.write( "                 16x² +  0x\r\n" );
document.write( "                 16x² - 64x\r\n" );
document.write( "                        64x - 256\r\n" );
document.write( "                        64x - 256\r\n" );
document.write( "                                0\r\n" );
document.write( "\r\n" );
document.write( "The solution is\r\n" );
document.write( "\r\n" );
document.write( "x³ +  4x² + 16x +  64\r\n" );
document.write( "\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Method 2:  Synthetic division:\r\n" );
document.write( "\r\n" );
document.write( "\"%28x%5E4-256%29%2F%28x-4%29\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4 | 1   0   0   0  -256\r\n" );
document.write( "  |     4  16  64   256 \r\n" );
document.write( "    1   4  16  64     0\r\n" );
document.write( "\r\n" );
document.write( "The solution is\r\n" );
document.write( "\r\n" );
document.write( "x³ +  4x² + 16x +  64\r\n" );
document.write( "\r\n" );
document.write( "------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Method 3:  Factoring and canceling:\r\n" );
document.write( "\r\n" );
document.write( "\"%28x%5E4-256%29%2F%28x-4%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%28x%5E2-16%29%28x%5E2%2B16%29%29%2F%28x-4%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28%28x-4%29%28x%2B4%29%28x%5E2%2B16%29%29%2F%28x-4%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28cross%28%28x-4%29%29%28x%2B4%29%28x%5E2%2B16%29%29%2Fcross%28%28x-4%29%29\"\r\n" );
document.write( "  \r\n" );
document.write( "(x+4)(x²+16)\r\n" );
document.write( "\r\n" );
document.write( "You can leave it like that or multiply it out using FOIL:\r\n" );
document.write( "\r\n" );
document.write( "x³ + 16x + 4x² + 64\r\n" );
document.write( "\r\n" );
document.write( "or in descending order:\r\n" );
document.write( "\r\n" );
document.write( "x³ + 4x² + 16x + 64, same answer as when using the long division method.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );