Question

Identify the degree of the polynomial x2y + 5xy3 − 7y2 + 2

Answer 1

5xy^3 is degree 4.
The x is degree 1 and the y is degree 3. Add the 2 together for degree 4 polynomial.

Answer 2

Degree of the polynomial
`x^(2)y + 5xy^3 - 7y^2 + 2` is 4.

Explanation:

Given expression
`x^(2)y + 5xy^3 − 7y^2 + 2`

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.

`x^(2)y + 5xy^3 - 7y^2 + 2`

Here, monomials are

`x^(2)y` its degree is 2+1=3

`5xy^3` its degree is 1+3=4

`7y^2` its degree is 2

`2` its degree is 0

Hence, the highest degree of monomials i.e degree is 4.