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Determining the degree of a polynomial with more than one variable:
1)  Add the exponents of each variable in each term:
     3x³ = 3
     2x =  1
     -zx ^{4} =1+4 = 5

2)  The term with the largest  sum of exponent determines the degree of the polynomial:
    -zx ^{4}  has the largest sum of exponents:  5

f(x)=3x ^{3} +2x-zx^{4}  has a degree of 5, or the equation is in 5th degree.
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