document.write( "Question 582739: Identify the coefficient and the degree of each term of the polynomial.
\n" );
document.write( "Then find the degree of the polynomial.
\n" );
document.write( "xy8 + 7x8y2 - 6xy4 + 2
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #372219 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "xy8 + 7x8y2 - 6xy4 + 2\r\n" ); document.write( "\r\n" ); document.write( "The degree of a term is the number of letters multiplied together\r\n" ); document.write( "when the term is written without exponents. \r\n" ); document.write( "\r\n" ); document.write( "Its coefficient is the number that's multiplied by the letters, or if\r\n" ); document.write( "there are no letters multiplied, it is just the term itself. \r\n" ); document.write( "(understood)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write all the terms without exponents:\r\n" ); document.write( "\r\n" ); document.write( "xyyyyyyyy + 7xxxxxxxxyy - 6xyyyy + 2\r\n" ); document.write( "\r\n" ); document.write( "The first term xyyyyyyyy contains the product of 9 letters, so its degree is 9.\r\n" ); document.write( "Its coefficient is 1 (understood).\r\n" ); document.write( "\r\n" ); document.write( "The second term 7xxxxxxxxyy contains the product of 10 letters, so its degree\r\n" ); document.write( "is 10. Its coefficient is 7\r\n" ); document.write( "\r\n" ); document.write( "The third term -6xyyyy contains the product of 5 letters, so its degree is 5.\r\n" ); document.write( "Its coefficient is -6\r\n" ); document.write( "\r\n" ); document.write( "The fourth term 2 contains the product of 0 letters, so its degree is 0.\r\n" ); document.write( "Its coefficient is 2 \r\n" ); document.write( "\r\n" ); document.write( "The degree of the whole polynomial is the same as the degree of its term\r\n" ); document.write( "with the largest degree. So the degree of the whole polynomial is 10.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |