CBSE Class IX Math Worksheet
Chapters 1: Number Systems & Chapter 2: Polynomials
Instructions:
1. Answer all questions in the space provided.
2. Show necessary working for 2-mark and 3-mark questions to get full credit.
3. Total marks: 10. Time allowed: 20 minutes.
Question 1 (1 Mark): Is \( \frac{-7}{0} \) a rational number? Justify your answer.
Question 2 (1 Mark): What is the degree of the polynomial \( p(x) = 5x^3 + 2x - 1 \)?
Question 3 (2 Marks): Simplify \( \sqrt{18} \div \sqrt{2} \). Show that the result is a rational number.
Question 4 (2 Marks): Find the value of the polynomial \( p(x) = 2x^2 - 3x + 1 \) at \( x = -1 \).
Question 5 (2 Marks): Classify the following numbers as rational or irrational, giving a brief reason for each: (a) \( \sqrt{49} \) (b) \( 0.1010010001\ldots \)
Question 6 (2 Marks): Factorize the polynomial \( x^2 + 2x - 15 \).
