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
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