**NCERT Solutions Class 9 Maths Chapter 2 Polynomials** – Here are all the NCERT solutions for Class 9 Maths Chapter 2. This solution contains questions, answers, images, explanations of the complete Chapter 2 titled Polynomials of Maths taught in class 9. If you are a student of class 9 who is using NCERT Textbook to study Maths, then you must come across Chapter 2 Polynomials. After you have studied the lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 9 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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### NCERT Solutions Class 9 Maths chapter 2 Polynomials- Video

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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.

- Click here for NCERT Book for Class 9 Maths
- Click here to buy NCERT Book for Class 9 Maths

### 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

### All NCERT Solutions

You can also check out NCERT Solutions of other classes here. Click on the class number below to go to relevant NCERT Solutions of Class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

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