Question 2

We will write examples of polynomials based on their highest power.

Step 1 — Degree 1 Polynomial

A polynomial's degree is its highest power. For degree 1, the highest power of the variable is 1. We call this a linear polynomial. Let's write an example.

$2x + 5$

$\boxed{2x + 5}$

Step 2 — Degree 2 Polynomial

For degree 2, the highest power of the variable is 2. We call this a quadratic polynomial. Let's write an example.

$x^2 + 3x + 1$

$\boxed{x^2 + 3x + 1}$

Step 3 — Degree 3 Polynomial

For degree 3, the highest power of the variable is 3. We call this a cubic polynomial. Let's write an example.

$\boxed{x^3 - 2x^2 + x + 4}$

Answer

(i) A polynomial of degree 1: $2x + 5$ (ii) A polynomial of degree 2: $x^2 + 3x + 1$ (iii) A polynomial of degree 3: $x^3 - 2x^2 + x + 4$