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