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

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## 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
2023-2024.

### 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

Sure! The following topics will be covered in this article

- 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

## 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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