Give an example of :
(i) monomial of degree 19 (ii) binomial of degree 16 (iii) trinomial of degree 5

Answer

To solve the question, we need to provide examples of a monomial of degree 19, a binomial of degree 16, and a trinomial of degree 5. Let's break this down step by step.

### Step 1: Monomial of Degree 19
A monomial is a polynomial that consists of only one term. The degree of a monomial is determined by the highest exponent of the variable in that term.

**Example:**
Let’s take the variable \( x \) and raise it to the power of 19.
\[ \text{Monomial} = x^{19} \]

### Step 2: Binomial of Degree 16
A binomial is a polynomial that consists of two terms. The degree of a binomial is determined by the highest exponent of the variable in either of the two terms.

**Example:**
We can have two terms where the highest degree is 16. For instance:
\[ \text{Binomial} = x^{16} + 2 \]
Here, the highest degree term is \( x^{16} \), which gives us a degree of 16.

### Step 3: Trinomial of Degree 5
A trinomial is a polynomial that consists of three terms. The degree of a trinomial is determined by the highest exponent of the variable in any of the three terms.

**Example:**
We can construct a trinomial with the highest degree of 5. For example:
\[ \text{Trinomial} = x^{5} + x^{2} + 3 \]
In this case, the highest degree term is \( x^{5} \), which gives us a degree of 5.

### Final Answer:
1. Monomial of degree 19: \( x^{19} \)
2. Binomial of degree 16: \( x^{16} + 2 \)
3. Trinomial of degree 5: \( x^{5} + x^{2} + 3 \)

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