Answer:
Degree of the polynomial [tex]x^{2}y + 5xy^3 - 7y^2 + 2[/tex] is 4.
Step-by-step explanation:
Given expression [tex]x^{2}y + 5xy^3 − 7y^2 + 2[/tex]
we have to find the degree of the above polynomial.
The degree of a polynomial is the highest degree of its monomials in the polynomial with non-zero coefficients.
[tex]x^{2}y + 5xy^3 - 7y^2 + 2[/tex]
Here, monomials are
[tex]x^{2}y[/tex] its degree is 2+1=3
[tex]5xy^3[/tex] its degree is 1+3=4
[tex]7y^2[/tex] its degree is 2
[tex]2[/tex] its degree is 0
Hence, the highest degree of monomials i.e degree is 4.
