The degree of the polynomial $4x^{3}y^{2} - 5xy^{4} + 7$ is

The degree of the polynomial $4x^{3}y^{2} - 5xy^{4} + 7$ is
  1. $3$
  2. $4$
  3. $5$
  4. $7$

Solution

Degree of a term = sum of exponents. Degrees: $4x^{3}y^{2}\to 5$, $-5xy^{4}\to 5$, $7\to 0$. Maximum is $5$.

Asked in: IMO

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