# What is the degree of the polynomial -3x^{3}y^{2}+3x^{2}y^{4}+3xy^{2}

What is the degree of the polynomial
$-3{x}^{3}{y}^{2}+3{x}^{2}{y}^{4}+3x{y}^{2}$
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amarantha41
Step 1
Rewrite the given polynomial in terms of decreasing powers.
$-3{x}^{3}{y}^{2}+3{x}^{2}{y}^{4}+3x{y}^{2}=3{x}^{2}{y}^{4}-3{x}^{3}{y}^{2}+3x{y}^{2}$
Step 2
Now degree of the polynomial can be determined to be the largest sum of powers of variables in the given expression which is determined to be 6 in the given polynomial as.
$3{x}^{2}{y}^{4}$
degree = 2+4=6