Our ncert solutions for Exercise 2.1 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study is the best material for English Medium students cbse board and other state boards students.

# Exercise 2.1 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

Topper Study classes prepares ncert solutions on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our ncert solutions for Exercise 2.1 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study is the best material for English Medium students cbse board and other state boards students.

## Exercise 2.1 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

CBSE board students who preparing for **class 9 ncert solutions maths and Mathematics** solved exercise **chapter 2. Polynomials** available and this helps in upcoming exams
2024-2025.

### You can Find Mathematics solution Class 9 Chapter 2. Polynomials

- All Chapter review quick revision notes for chapter 2. Polynomials Class 9
- NCERT Solutions And Textual questions Answers Class 9 Mathematics
- Extra NCERT Book questions Answers Class 9 Mathematics
- Importatnt key points with additional Assignment and questions bank solved.

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### Exercise 2.1 class 9 Mathematics Chapter 2. Polynomials

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- Exercise 2.1 Class 9 Maths 2. Polynomials - Ncert Solutions - Toppers Study
- Class 9 Ncert Solutions
- Solution Chapter 2. Polynomials Class 9
- Solutions Class 9
- Chapter 2. Polynomials Exercise 2.1 Class 9

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## 2. Polynomials

### | Exercise 2.1 |

## Exercise 2.1 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

**Exercise 2.1 **

**Q1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x ^{2} – 3x + 7 **

**(ii) y ^{2} + √2**

**(iii)3√t + t√2**

**(iv) y +2/y**

**(v) x ^{10} + y^{3} + t^{50}**

**Solution:**

(i) 4x^{2} – 3x + 7

It is polynomial in one variable. Because the power of variable is natural number.

(ii) y^{2} + √2

It is polynomial in one variable. Because the power of variable is natural number.

(iii)3√t + t√2

It is not a polynomial in one variable. Because the power of variable is not a natural number, it is a fractional number.

(iv) y +2/y

It is not a polynomial in one variable.

(v) x^{10} + y^{3} + t^{50}

It is not a polynomial in one variable. while It is a polynomial in three variable.

**Q2. Write the coefficients of x ^{2} in each of the following:**

**(i) 2 + x ^{2} + x **

**(ii) 2 – x ^{2} + x3 (**

**iii) π/2 x ^{2} + x**

**(iv) √2x −1**

**Solution: **

(i) 2 + x^{2} + x

Coefficient of x^{2} = 1

(ii) 2 – x^{2} + x3

Coefficient of x^{2} = –1

(iii) π/2 x^{2} + x

Coefficient of x^{2} = π/2

(iv) √2x −1

Coefficients of x^{2} = 0 [Because There is no x^{2 }So coefficient will be 0]

**Q3. Give one example each of a binomial of degree 35, and of a monomial of degree 100.**

**Solution: **

A binomial of degree 35

⇒ 2x^{35} + 5y

**Note:** Binomial means the expression of two terms. Like x + 5, 3a - 2b, 3t + 7 etc.

A monomial of degree 100

⇒ 3y^{100}

**Note:** Monomial means the expression of single term, like 3x, 5t, y, 3xy etc.

**Q4. Write the degree of each of the following polynomials:
(i) 5x ^{3} + 4x^{2} + 7x**

**(ii) 4 – y ^{2}**

**(iii) 5t – √7**

**(iv) 3**

**Solution: **

(i) 5x^{3} + 4x^{2} + 7x

Ans: The degree of polynomial = 3 [Highest power]

(ii) 4 – y^{2}

Ans: The degree of polynomial = 2

(iii) 5t – √7

Ans: The degree of polynomial = 1

(iv) 3

Ans: The degree of polynomial = 0

[Note: There is no variable therefore degree = 0]

**Q5. Classify the following as linear, quadratic and cubic polynomials:**

**(i) x ^{2} + x **

**(ii) x – x ^{3} **

**(iii) y + y ^{2} + 4**

**(iv) 1 + x**

**(v) 3t**

**(vi) r ^{2} **

**(vii) 7x ^{2}**

**Solution:**

(i) x^{2} + x

Ans: Quadratic polynomial

(ii) x – x^{3}

Ans: Cubic polynomial

(iii) y + y^{2} + 4

Ans: Quadratic polynomial

(iv) 1 + x

Ans : Linear polynomial

(v) 3t

Ans : Linear polynomial

(vi) r^{2}

Ans: Quadratic polynomial

(vii) 7x^{2}

Ans: Cubic polynomial

##### Other Pages of this Chapter: 2. Polynomials

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