**Case study Questions on Class 9 Mathematics Chapter 2 **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-based** **questions for Class 9 Maths Chapter 2 **Polynomials**

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# Polynomials Case Study Questions With Answers

**Case Study/Passage Based Questions**

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**

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**

*Solve this by yourself.*

Rahul is a creative person and loves to paint. During the lockdown, he painted a wall of his daughter’s room with her favorite color olive green. He did not paint the area covered by the window and the door. The figure shows the dimensions of his daughter’s room that he painted.

**The area of the wall including the door and the window is:**

- (25x
^{2}+10) sq. units - (25x+10) sq. units
- (10x
^{2}+10x) sq. units - (25x
^{2}+10x) sq. units

**Area of the wall that Rahul painted is an example of**

- monimial
- both monomial and binomial
- binomial
- tinomial

**The coefficient of x while finding the perimeter of the window is**

- 2
- 3
- 5
- 6

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