Question

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Explanation:

Step1: Calculate degree of each term

• Degree of $x^2y$: $2+1=3$
• Degree of $-2xy^2$: $1+2=3$
• Degree of $5x$: $1$
• Degree of $y^7$: $7$

Step2: Identify highest term degree

The highest degree from the terms is 7.

Step3: Classify polynomial type

The polynomial has 4 terms, so it is none of monomial (1 term), binomial (2 terms), trinomial (3 terms).

Answer:

The degree of the polynomial is 7, and the polynomial is none of these.