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

Verified Answer :

bcalle

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:

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

Step-by-step 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.