document.write( "Question 1204145: find the degree of the polynomial\r
\n" ); document.write( "\n" ); document.write( "w^3x^4 +3+3x^2 u^3 w-2u^6 \n" ); document.write( "
Algebra.Com's Answer #840204 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "If the polynomial has a single variable, then the degree is the largest exponent.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Example: degree of x^3+x^6-12 is 6\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If the polynomial has more than one variable, then we add the exponents for each monomial term and look for the largest sum to get the degree.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In the case of w^3x^4 +3+3x^2 u^3 w-2u^6, we have these terms:
\n" ); document.write( "w^3x^4
\n" ); document.write( "3
\n" ); document.write( "3x^2u^3w
\n" ); document.write( "-2u^6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The first term has the exponents sum to 3+4 = 7
\n" ); document.write( "The second term has the exponents sum to zero. Think of 3 as 3x^0
\n" ); document.write( "The third term has its exponents add to 2+3+1 = 6
\n" ); document.write( "The fourth term has an exponent sum of 6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We see that the first monomial has the largest exponent sum.
\n" ); document.write( "Therefore the degree of w^3x^4+3+3x^2u^3w-2u^6 is 7.
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );