Give the degree of the polynomial. $$ 16 w^{7} y^{4} u^{3}+6-5 y^{12}-u^{11} w $$

Question

UpStudy AI · Accepted Answer

To determine the degree of the given polynomial:

$$
16 w^{7} y^{4} u^{3} + 6 - 5 y^{12} - u^{11} w
$$

**Step 1: Identify the degree of each term.**

1. **$$16 w^{7} y^{4} u^{3}$$**
   - Exponents: $$w^7$$, $$y^4$$, $$u^3$$
   - Sum of exponents: $$7 + 4 + 3 = 14$$

2. **$$6$$**
   - This is a constant term.
   - Degree: $$0$$

3. **$$-5 y^{12}$$**
   - Exponent: $$y^{12}$$
   - Degree: $$12$$

4. **$$-u^{11} w$$**
   - Exponents: $$u^{11}$$, $$w^1$$
   - Sum of exponents: $$11 + 1 = 12$$

**Step 2: Determine the highest degree among all terms.**

- The degrees of the terms are: $$14$$, $$0$$, $$12$$, and $$12$$.
- The highest degree is **14**.

**Conclusion:**

The degree of the polynomial is **14**.
The degree of the polynomial is 14.

Give the degree of the polynomial. \[ 16 w^{7} y^{4} u^{3}+6-5 y^{12}-u^{11} w \]