Question 76002
You're right{{{4x^3+3x^2+2x+1}}} is a third degree polynomial, however the degree is the highest of the combined exponents of a term in the polynomial.
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For instance {{{3x^4y^2+5x^5}}}} is a 6 degree polynomial because the first term has a combined exponent value of 4+2=6.  
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Happy Calculating!!!!