CBSE **Case Study Questions Class 9 Maths Chapter 2 Polynomials PDF Download **are very important to solve for your exam. Class 9 Maths Chapter 2 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Case Study Questions Class 9 Maths Chapter 2 **Polynomials**

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# Polynomials Case Study Questions With Answers

## Case Study Questions Class 9 Maths Chapter 2

**Case Study/Passage-Based Questions**

** Case Study 1. **Ankur and Ranjan start a new business together. The amount invested by both partners together is given by the polynomial p(x) = 4x

^{2 }+ 12x + 5, which is the product of their individual shares.

**Coefficient of x ^{2} in the given polynomial is**(a) 2 (b) 3 (c) 4 (d) 12

Answer: (c) 4

**Total amount invested by both, if x = 1000 is**(a) 301506 (b)370561

(c) 4012005 (d)490621

Answer: (c) 4012005

**The shares of Ankur and Ranjan invested individually are**(a) (2x + 1),(2x + 5)(b) (2x + 3),(x + 1)

(c) (x + 1),(x + 3) (d) None of these

Answer: (a) (2x + 1),(2x + 5)

**Name the polynomial of amounts invested by each partner.**(a) Cubic (b) Quadratic

(c) Linear (d) None of these

Answer: (c) Linear

**Find the value of x, if the total amount invested is equal to 0.**(a) –1/2 (b) –5/2

(c) Both (a) and (b) (d) None of these

Answer: (c) Both (a) and (b)

**Case Study/Passage-Based Questions**

** Case Study 2. **One day, the principal of a particular school visited the classroom. The class teacher was teaching the concept of a polynomial to students. He was very much impressed by her way of teaching. To check, whether the students also understand the concept taught by her or not, he asked various questions to students. Some of them are given below. Answer them

**Which one of the following is not a polynomial?**(a) 4x

^{2}+ 2x – 1 (b) y+3/y

(c) x

^{3}– 1 (d) y

^{2}+ 5y + 1

Answer: (b) y+3/y

**The polynomial of the type ax ^{2} + bx + c, a = 0 is called**(a) Linear polynomial

(b) Quadratic polynomial

(c) Cubic polynomial

(d) Biquadratic polynomial

Answer: (a) Linear polynomial

**The value of k, if (x – 1) is a factor of 4x ^{3 }+ 3x^{2} – 4x + k, is**(a) 1 (b) –2 (c) –3 (d) 3

Answer: (c) –3

**If x + 2 is the factor of x ^{3} – 2ax^{2} + 16, then value of a is**(a) –7 (b) 1 (c) –1 (d) 7

Answer: (b) 1

**The number of zeroes of the polynomial x ^{2} + 4x + 2 is**(a) 1 (b) 2 (c) 3 (d) 4

Answer: (b) 2

**Case Study/Passage-Based Questions**

**Case Study 3. **Amit and Rahul are friends who love collecting stamps. They decide to start a stamp collection club and contribute funds to purchase new stamps. They both invest a certain amount of money in the club. Let’s represent Amit’s investment by the polynomial A(x) = 3x^2 + 2x + 1 and Rahul’s investment by the polynomial R(x) = 2x^2 – 5x + 3. The sum of their investments is represented by the polynomial S(x), which is the sum of A(x) and R(x).

**Q1. What is the coefficient of x^2 in Amit’s investment polynomial A(x)?**(a) 3

(b) 2

(c) 1

(d) 0

Answer: (a) 3

**Q2. What is the constant term in Rahul’s investment polynomial R(x)?**(a) 2

(b) -5

(c) 3

(d) 0

Answer: (c) 6

**Q3. What is the degree of the polynomial S(x), representing the sum of their investments?**(a) 4

(b) 3

(c) 2

(d) 1

Answer: (c) 2

**Q4. What is the coefficient of x in the polynomial S(x)?**(a) 7

(b) -3

(c) 0

(d) 5

Answer: (b) -3

**Q5. What is the sum of their investments, represented by the polynomial S(x)?**(a) 5x^2 + 7x + 4

(b) 5x^2 – 3x + 4

(c) 5x^2 – 3x + 5

(d) 5x^2 + 7x + 5

Answer: (b) 5x^2 – 3x + 4

**Case Study 4.** A school is organizing a fundraising event to support a local charity. The students are divided into three groups: Group A, Group B, and Group C. Each group is responsible for collecting donations from different areas of the town.

Group A consists of 30 students and each student is expected to collect ‘x’ amount of money. The polynomial representing the total amount collected by Group A is given as A(x) = 2x^2 + 5x + 10.

Group B consists of 20 students and each student is expected to collect ‘y’ amount of money. The polynomial representing the total amount collected by Group B is given as B(y) = 3y^2 – 4y + 7.

Group C consists of 40 students and each student is expected to collect ‘z’ amount of money. The polynomial representing the total amount collected by Group C is given as C(z) = 4z^2 + 3z – 2.

**Q1. What is the coefficient of x in the polynomial A(x)?**(a) 2

(b) 5

(c) 10

(d) 0

Answer: (b) 5

**Q2. What is the degree of the polynomial B(y)?**(a) 2

(b) 3

(c) 4

(d) 1

Answer: (b) 3

**Q3. What is the constant term in the polynomial C(z)?**(a) 4

(b) 3

(c) -2

(d) 0

Answer: (c) -2

**Q4. What is the sum of the coefficients of the polynomial A(x)?**(a) 2

(b) 5

(c) 10

(d) 17

Answer: (c) 10

**Q5. What is the total number of students in all three groups combined?**(a) 30

(b) 20

(c) 40

(d) 90

Answer: (c) 40

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