Class IX Math - Polynomials

Polynomial Questions

1. What is the degree of a polynomial 3x² + 5x - 2?

2

2. Which term is the constant in 4x³ - 2x + 7?

7

3. What is the coefficient of x² in 2x³ + 3x² - x + 1?

3

4. Is x² - 1 a polynomial?

Yes

Match the Pair MCQs

5. Match the following: (a) x² + 1 (i) Linear (b) 2x + 3 (ii) Quadratic)

a - ii, b - i

6. Match the following: (a) 5x³ (i) Monomial (b) x² + 3x + 2 (ii) Trinomial)

a - i, b - ii

7. Match the following: (a) Degree 1 (i) Cubic (b) Degree 3 (ii) Linear)

a - ii, b - i

One-Word Answer Questions

8. What is the degree of 7?

0

9. What type of polynomial is 2x?

Linear

10. How many terms are in x² + 3x - 5?

3

Diagram-Based Questions

11. Draw the graph of a quadratic polynomial (e.g., x²).

U-shaped parabola

12. Sketch the graph of a linear polynomial (e.g., 2x + 1).

Straight line

Case Study Questions

13. Riya planted a garden and noted the area of her rectangular plot as x² + 5x + 6. What is the degree of this polynomial?

2

14. Amit measured the height of a ball thrown up as 3t² - 5t + 2. What type of polynomial is this?

Quadratic

15. During a math project, Priya found that the profit function was 4x - 3. What is its degree?

1

16. Karan calculated the volume of a cube as x³. How many terms does it have?

1

17. A shopkeeper’s revenue was given by 2x² + x - 1. How many terms are in this polynomial?

3

18. Leela graphed y = x² - 4 and noticed a U-shape. What is the degree?

2

19. Rohan found the perimeter of a square as 4x. What is its degree?

1

20. A scientist modeled growth as 5x³ - 2x² + x. What is the degree?

3