document.write( "Question 370058: list the degree of each term; (b) determine the leading term and the leading coefficient; and (c) determine the degree of the polynomial.\r
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document.write( "9x4 + x2 + x7 - 12\r
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document.write( "Can you walk me through this? \n" );
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Algebra.Com's Answer #263716 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "9x4 + x2 + x7 - 12\r\n" ); document.write( "\r\n" ); document.write( "list the degree of each term; \r\n" ); document.write( "\r\n" ); document.write( "9x4 is the first term. Its degree is 4 because that's its exponent of the\r\n" ); document.write( "variable x.\r\n" ); document.write( "\r\n" ); document.write( "x2 is the second term. Its degree is 2 because that's its exponent of the\r\n" ); document.write( "variable x.\r\n" ); document.write( "\r\n" ); document.write( "x7 is the third term. Its degree is 7 because that's its exponent of the\r\n" ); document.write( "variable x.\r\n" ); document.write( "\r\n" ); document.write( "-12 is the fourth term. Its degree is 0 because, since x0 = 1 and -12\r\n" ); document.write( "therefore equals to -12x0, -12 has an understoon exponent of the variable x.\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "(b) determine the leading term and the leading coefficient;\r\n" ); document.write( "\r\n" ); document.write( "The leading term is the one which has the largest exponent of the variable x.\r\n" ); document.write( "This is the third term x7. The leading coefficient is the coefficient of the\r\n" ); document.write( "leading term. Therefore the leading coefficient is the understood 1\r\n" ); document.write( "coefficient of the leading term x7.\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "(c) determine the degree of the polynomial.\r\n" ); document.write( "\r\n" ); document.write( "The degree of a polynomial is the same as the degree of its leading term.\r\n" ); document.write( "Therefore the degree of the entire polynomial is the same as the degree of\r\n" ); document.write( "the leading term x7, which is 7.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |