Class 9 Mathematics (NCERT)

1. Which of the following expressions is a polynomial in one variable?

• A. 4x² - 3x + 7
• B. y + 2/y
• C. 3√t + t√2
• D. x¹⁰ + y³ + t⁵⁰

2. What is the degree of the polynomial 5x³ + 4x² + 7x?

• A. 1
• B. 2
• C. 3
• D. 0

3. What is the degree of a non-zero constant polynomial?

• A. 0
• B. 1
• C. Not defined
• D. Any real number

4. Find the value of the polynomial p(x) = 5x - 4x² + 3 at x = 0.

• A. 0
• B. 3
• C. -1
• D. 4

5. What is the zero of the linear polynomial p(x) = 2x + 5?

• A. 5/2
• B. -5/2
• C. -2/5
• D. 2/5

6. If x + 1 is a factor of p(x) = x³ + x² + x + 1, then the remainder when p(x) is divided by (x + 1) is:

• A. 1
• B. -1
• C. 0
• D. 2

7. What are the factorized factors of x² - 25?

• A. (x - 5)(x - 5)
• B. (x + 5)(x + 5)
• C. (x + 5)(x - 5)
• D. (x - 25)(x + 1)

8. The expanded form of (x + 2y + 4z)² is:

• A. x² + 4y² + 16z² + 4xy + 16yz + 8xz
• B. x² + 2y² + 4z² + 2xy + 4yz + 4xz
• C. x² + 4y² + 16z² + 2xy + 8yz + 4xz
• D. x² + 4y² + 8z² + 4xy + 8yz + 8xz

9. If x + y + z = 0, then x³ + y³ + z³ is equal to:

• A. 0
• B. xyz
• C. 2xyz
• D. 3xyz

10. The coefficient of x² in the polynomial 2 - x² + x³ is:

• A. 1
• B. -1
• C. 2
• D. 0