Question

State the degree of the polynomial.
3x2y + 4xy + 1 − 5x4y − 6y,

Answer 1

The degree of the given polynomial is 5

Explanation:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

The degree of a monomial is the sum of the exponents of the variables that appear in it.

We have the following polynomial:

`3x^2y + 4xy + 1 - 5x^4y - 6y`

Degree of the first monomial: 2+1=3

Degree of the next monomial: 1+1=2

Degree of the next monomial: 0

Degree of the next monomial: 4+1=5

Degree of the next monomial: 1

Thus, the degree of the given polynomial is 5