document.write( "Question 65343: divide (a^3-5a^2+13x-14)/(a-2) \n" ); document.write( "
Algebra.Com's Answer #45895 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
divide (a^3-5a^2+13a-14)/(a-2)
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document.write( "Start out with this:\r\n" );
document.write( "      \r\n" );
document.write( "                         `\r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "     \r\n" );
document.write( "The \"a\" goes into the \"a²\" \"a\" times, so write \"a\" over the \"- 5a²\"\r\n" );
document.write( "\r\n" );
document.write( "             a²          `      \r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       \r\n" );
document.write( "Now multiply the a² by the -2 and get -2a² and write that below the \r\n" );
document.write( "\"- 5a²\":\r\n" );
document.write( "\r\n" );
document.write( "             a²          `            \r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "          - 2a²\r\n" );
document.write( "                       \r\n" );
document.write( "                      \r\n" );
document.write( "Now multiply the a² by the a, getting a³, so write that under the \r\n" );
document.write( "a³.                        \r\n" );
document.write( "   \r\n" );
document.write( "             a²          `                \r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "                        \r\n" );
document.write( "Now draw a line and subtract (-5a²)-(-2a²) = -5a²+2a² = -3a². So write that under\r\n" );
document.write( "the - 2a² termm, and bring down the next term, \" 13a\"\r\n" );
document.write( "                                                     \r\n" );
document.write( "             a²          ` \r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14   \r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "\r\n" );
document.write( "\"a\" goes into \"-3a²\"  \"-3a\" times. So we write \"- 3a\" above the \"+ 13a\" \r\n" );
document.write( "     \r\n" );
document.write( "             a² -  3a    `\r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "           \r\n" );
document.write( "Now multiply the -3a by both the a and the -2, getting -3a² + 6a.  Write\r\n" );
document.write( "that at the bottom.\r\n" );
document.write( "    \r\n" );
document.write( "             a² -  3a    `\r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "           -3a² +  6a\r\n" );
document.write( "                   \r\n" );
document.write( "Draw a line and subtract: (+ 13a) - (+ 6a) = 13a - 6a = 7a. \r\n" );
document.write( "So write 7a under the 6a.  Bring down the last term \"-14\"\r\n" );
document.write( "                   \r\n" );
document.write( "             a² -  3a    ` \r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "           -3a² +  6a\r\n" );
document.write( "                   7a - 14\r\n" );
document.write( "                    \r\n" );
document.write( "\"a\" goes into \"7a\" \"7\" times, so write \"+ 7\" above the \"- 14\"\r\n" );
document.write( "     \r\n" );
document.write( "             a² -  3a +  7\r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "           -3a² +  6a\r\n" );
document.write( "                   7a - 14\r\n" );
document.write( "\r\n" );
document.write( "Multiply the \"+ 7\" by both the \"a\" and the \"- 2\", and get \"7a - 14\", so\r\n" );
document.write( "write this at the bottom \r\n" );
document.write( "\r\n" );
document.write( "             a² -  3a +  7\r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "           -3a² +  6a\r\n" );
document.write( "                   7a - 14\r\n" );
document.write( "                   7a - 14 \r\n" );
document.write( "\r\n" );
document.write( "Draw a line and subtract: (-14) - (-14) = -14 + 14 = 0\r\n" );
document.write( "Write 0 at the bottom under the -14\r\n" );
document.write( "\r\n" );
document.write( "             a² -  3a +  7\r\n" );
document.write( "a - 2 )a³ - 5a² + 13a - 14\r\n" );
document.write( "       a² - 2a²\r\n" );
document.write( "          - 3a² + 13a\r\n" );
document.write( "           -3a² +  6a\r\n" );
document.write( "                   7a - 14\r\n" );
document.write( "                   7a - 14\r\n" );
document.write( "                         0\r\n" );
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document.write( "Since the remainder is 0, the answer is a² - 3a + 7 that you\r\n" );
document.write( "see at the top.\r\n" );
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document.write( "Edwin
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