Question

question 3
what is the degree of the polynomial $-6x^{3}y^{2} + 5x^{4} - 7z$?

Explanation:

Step1: Recall degree of a term

The degree of a term with multiple variables is the sum of the exponents of the variables. For a term \(ax^m y^n\), degree is \(m + n\).

Step2: Find degree of each term

• For \(-6x^3y^2\): Degree is \(3 + 2 = 5\).
• For \(5x^4\): Degree is \(4\).
• For \(-7z\): Degree is \(1\).

Step3: Determine polynomial's degree

The degree of a polynomial is the highest degree among its terms. Here, the highest degree is \(5\).

Answer:

5