**NCERT Solutions Class 10 Maths Chapter 2 Polynomials** – Here are all the NCERT solutions for Class 10 Maths Chapter 2. This solution contains questions, answers, images, explanations of the complete Chapter 2 titled Polynomials of Maths taught in Class 10. If you are a student of Class 10 who is using NCERT Textbook to study Maths, then you must come across Chapter 2 Polynomials. After you have studied lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 10 Maths Chapter 2 Polynomials in one place.

## NCERT Solutions Class 9 Maths Chapter 2 Polynomials

Here on **AglaSem Schools**, you can access to **NCERT Book Solutions** in free pdf for Maths for Class 9 so that you can refer them as and when required. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions.

For a better understanding of this chapter, you should also see summary of Chapter 2 Polynomials , Maths, Class 9.

Class | 9 |

Subject | Maths |

Book | Mathematics |

Chapter Number | 2 |

Chapter Name |
Polynomials |

### NCERT Solutions Class 9 Maths chapter 2 Polynomials

Class 9, Maths chapter 2, Polynomials solutions are given below in PDF format. You can view them online or download PDF file for future use.

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### Download NCERT Solutions Class 9 Maths chapter 2 Polynomials In PDF Format

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### Question & Answer

Q.1:Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer (i) \(4 x^{2}-3 x+7 \) (ii) \( y^{2}+\sqrt{2} \) (iii) \(3 \sqrt{t}+t\sqrt{2} \) (iv) \( y+\frac{2}{y} \) (v) \( x^{2}+y^{3}+t \)

Ans :(i) \(4 x^{2}-3 x+7 \) Yes, this expression is a polynomial in one variable x. (ii) \(y^{2}+\sqrt{2} \) Yes, this expression is a polynomial in one variable x. (iii) \( 3 \sqrt{t}+t \sqrt{2} \) No It can be observed that the exponent of variable t in term \( 3 \sqrt{t} {\text { is }} \frac{1}{2} \) which is not a whole number .Therefore this expression is not a polynomial. (iv) \(y+\frac{2}{y} \) No It can be observed that the exponent of variable t in term \( \frac{2}{y} {\text { is }-1,} \) which is not a whole number .Therefore this expression is not a polynomial. (v) \( x^{2}+y^{3}+t \) No It can be observed that this expression is a polynomial in 3 variables x,y and and t .Therefore , this expression is not a polynomial .

Q.2:Write the coefficients of \( x^{2} \) in each of the following: (i) \(2+x^{2}+x \) (ii) \( 2-x^{2}+x^{3} \) (iii) \(\frac{\pi}{2} x^{2}+x \) (iv) \( \sqrt{2} x-1 \)

Ans :(i) \( 2+x^{2}+x \) In the above expression the coefficient of \( x^{2} \) is \( 1. \) (ii) \( 2-x^{2}+x^{3} \) In the above expression the coefficient of \( x^{2} \) is \( -1 \) (iii) \( \frac{\pi}{2} x^{2}+x \) In the above expression the coefficient of \( x^{2} \) is \( \frac{\pi}{2} \) (iv) \(\sqrt{2} x-1 \) \( 0 x^{2}+\sqrt{2} x-1 \) or \( 0 x^{2}+\sqrt{2} x-1 \) In the above expression the coefficient of \(x^{2} \) is \( 0 \)

Q.3:Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Ans :Degree of a polynomial is the highest power of the variable in the polynomial. Binomial has two terms in it. Therefore, binomial of degree 35 can be written as \( x^{35}+x^{34} \) Monomial has only one term in it. Therefore, monomial of degree 100 can be written as \( X^{100} \)

Q.4:Write the degree of each of the following polynomials (i) \( 5 x^{3}+4 x^{2}+7 x \) (ii) \( 4-y^{2} \) (iii) \( 5 t-\sqrt{7} \) (iv) 3

Ans :Degree of a polynomial is the highest power of the variable in the polynomial. (i) \( 5 x^{3}+4 x^{2}+7 x \) This is a polynomial in a variable x and the highest power of variable x is 3 . Therefore, the degree of this polynomial is 3. (ii) \( 4-y^{2} \) This is a polynomial in variable y and the highest power of variable y is 2. Therefore, the degree of this polynomial is 2 . (iii) \( 5 t-\sqrt{7} \) This is a polynomial in variable t and the highest power of variable t is 1. Therefore, the degree of this polynomial is 1. (iv) 3 This is a constant polynomial. Degree of a constant polynomial is always 0.

Q.5: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) \(3 \mathrm{t} \) (vi) \( r^{2} \) (vii) \(7 x^{3} \)

Ans :Linear polynomial, quadratic polynomial, and cubic polynomial has its degrees as 1, 2, and 3 respectively. (i) \(x^{2}+x \) is a quadratic polynomial as its degree is 2 . (ii) \(x-x^{3} \) is a cubic polynomial as its degree is 3 . (iii) \(y+y^{2}+4 \) is a quadratic polynomial as its degree is 1. (iv) \( 1+x \) is a linear polynomial as its degree is 1. (v) \( 3 t \) is a linear polynomial as its degree is 1. (vi) \( r^{2} \) is a quadratic polynomial as its degree is 2. (vii) \(7 x^{3} \) s a cubic polynomial as its degree is 3 .

## NCERT / CBSE Book for Class 9 Maths

You can download the NCERT Book for Class 9 Maths in PDF format for free. Otherwise you can also buy it easily online.

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### All NCERT Solutions Class 9

- NCERT Solutions for Class 9 English
- NCERT Solutions for Class 9 Hindi
- NCERT Solutions for Class 9 Maths
- NCERT Solutions for Class 9 Science
- NCERT Solutions for Class 9 Social Science
- NCERT Solutions for Class 9 Sanskrit

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