Question

Find the degree of 5x2y 2+6 x2y-3 xy2​.

Answer 1

The degree of the polynomial
`\(5x^2y^2 + 6x^2y^(-3)xy^2\)` is 4,

Step-by-step explanation:

To determine the degree of a polynomial, we sum the exponents of the variables in each term and identify the term with the highest sum. For the given polynomial,
`\(5x^2y^2 + 6x^2y^(-3)xy^2\)`, we evaluate the degrees of each term.

1. For the term
`\(5x^2y^2\)`, the degree is
`\(2 + 2 = 4\).`

2. For the term
`\(6x^2y^(-3)xy^2\)`, the degree is
`\(2 + (-3) + 1 + 2 = 2\).`

Comparing the degrees, we find that the term
`\(5x^2y^2\)` has the highest degree (4). Therefore, the overall degree of the polynomial is 4.