Question

give the degree of the polynomial.
$-2v - 13x^{4}v^{3}u^{7}-5 + u^{6}x^{9}$

Explanation:

Step1: Recall the degree of a term

The degree of a term with multiple variables is the sum of the exponents of the variables in that term. For a constant term (like -5), the degree is 0. For a single - variable term (like - 2v), the degree is the exponent of the variable (here, the exponent of v is 1, so degree 1).

Step2: Find the degree of each non - constant term

• For the term \(-2v\): The exponent of \(v\) is 1, so degree \(= 1\).
• For the term \(-13x^{4}v^{3}u^{7}\): The sum of exponents is \(4 + 3+7=14\).
• For the term \(u^{6}x^{9}\): The sum of exponents is \(6 + 9 = 15\).

Step3: Determine the degree of the polynomial

The degree of a polynomial is the highest degree among all its terms. Comparing the degrees 1, 14, and 15, the highest is 15.

Answer:

15