Question

write degree of the following polynomials. 3xy-x²y-y⁴​

Answer 1

Answer:

Rearrange the polynomial in the decreasing order of powers:

=> -y⁴ - x²y + 3xy

The first term of the polynomial is raised to the power of 4. That is the degree of the polynomial, as 4 is the highest raised to power in this polynomial.

Hence, the degree of the polynomial is 4.

Hope this helped.

Answer 2

Given: The equation is$3xy-x^{2} y-y^{4}$.

We have to find the degree of the given polynomials.

As we know that the degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

We are solving in the following way:

Degree of

First term: $xy=1+1=2$

Second term: $x^{2} y=2+1=3$

Third term:$y^{4} =4$

Here, the highest power is$4$.

So the degree of the polynomial will be$4$.

Hence, the degree of the polynomial is$4$.