A literacy caompaign was organised by Class IX girl students under NSS. Students made (x-5) row and (3x-4) columns for the rally. Write the total number of students in the form of a polynomial.

Answer

To find the total number of students in the form of a polynomial, we need to multiply the number of rows by the number of columns.

### Step-by-Step Solution:

1. **Identify the expressions for rows and columns**:
- The number of rows is given as \( x - 5 \).
- The number of columns is given as \( 3x - 4 \).

2. **Set up the expression for total students**:
- The total number of students can be expressed as:
\[ \text{Total Students} = \text{Rows} \times \text{Columns} = (x - 5)(3x - 4) \]

3. **Use the distributive property (FOIL method)**:
- We will multiply the two binomials:
\[ (x - 5)(3x - 4) = x \cdot 3x + x \cdot (-4) + (-5) \cdot 3x + (-5) \cdot (-4) \]

4. **Calculate each term**:
- First term: \( x \cdot 3x = 3x^2 \)
- Second term: \( x \cdot (-4) = -4x \)
- Third term: \( -5 \cdot 3x = -15x \)
- Fourth term: \( -5 \cdot (-4) = 20 \)

5. **Combine like terms**:
- Now combine all the terms:
\[ 3x^2 - 4x - 15x + 20 = 3x^2 - 19x + 20 \]

6. **Write the final polynomial**:
- Therefore, the total number of students in the form of a polynomial is:
\[ 3x^2 - 19x + 20 \]

### Final Answer:
The total number of students is represented by the polynomial \( 3x^2 - 19x + 20 \).