Give the degree of the polynomial. $$ w^{6} y^{2}+3 u^{5}+15 y^{4} u^{4} w-5 $$

Question

UpStudy AI · Accepted Answer

To determine the degree of the polynomial

$$
w^{6} y^{2} + 3 u^{5} + 15 y^{4} u^{4} w - 5,
$$

we examine each term individually by summing the exponents of all variables in that term:

1. **$$w^{6} y^{2}$$:**  
   Degree = $$6 + 2 = 8$$

2. **$$3 u^{5}$$:**  
   Degree = $$5$$

3. **$$15 y^{4} u^{4} w$$:**  
   Degree = $$4 + 4 + 1 = 9$$

4. **$$-5$$:**  
   Degree = $$0$$ (constant term)

The highest degree among these terms is **9**.

**Answer:**  
9
The degree of the polynomial is 9.

Give the degree of the polynomial. \[ w^{6} y^{2}+3 u^{5}+15 y^{4} u^{4} w-5 \]