In this page we have **NCERT Solutions for Class 9 Maths:Chapter 2 Polynomial** for
Exercise 2.2 . Hope you like them and do not forget to like , social share
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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. $y^2 + \sqrt {2}$

iii. $3 \sqrt {t} + t \sqrt { 2}$

iv. $y + \frac {2}{y}$

v. $x^{10} + y^3 + t^{50}$

(i)$4x^2- 3x + 7$

Yes, this expression is a polynomial in one variable x.

(ii)$y^2 + \sqrt {2}$

Yes, this expression is a polynomial in one variable y.

(iii)$3 \sqrt {t} + t \sqrt { 2}$

No. It can be observed that the exponent of variable t in term3 √t is 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 y in term 2/y is -1 which is not a whole number. Therefore, this expression is not a polynomial.

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

No. It can be observed that this expression is a polynomial in 3 variables x, y, and t. Therefore, it is not a polynomial in one variable.

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$

(i) $2 + x^2 + x$

Coefficient of $x^2$ is 1.

(ii) $2 - x^2 + x^3$

Coefficient of $x^2$ is -1.

(iii)$(\frac {\pi}{2})x^2 + x$

Coefficient of $x^2$ is (π/2)

(iv) $ \sqrt {2} x -1$

There is no term consisting of $x^2$. Therefore, coefficient of $x^2$ is 0.

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

Degree of a polynomial is the highest power of variable in the polynomial.

Binomial has two terms in it. So binomial of degree 35 can be written as $x^{35}+ 1$. monomial has only one term in it. So monomial of degree 100 can be written as $x^{100}$.

Write the degree of each of the following polynomials:

(i) 5x

(ii) 4 - y

(iii) 5t -√ 7

(iv) 3

(i)

(ii)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)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)This is a constant polynomial. Degree of a constant polynomial is always 0.

Classify the following as linear, quadratic and cubic polynomials:

(i) x

(ii) x - x

(iii) y + y

(iv) 1 + x

(v) 3t

(vi) r

(vii) 7x

(i) 2 + x

(ii) x - x

(iii) y + y

(iv) 1 + x is a linear polynomial as its degree is 1.

(v) 3t is a linear polynomial as its degree is 1.

(vi) r

(vii) 7x

Download Polynomial Exercise 2.2 as pdf

- Constants and Variable
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- Polynomial expression
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- how to find the degree of a polynomial
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- Value of the polynomial
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- Zeros or roots of the polynomial
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- Adding Polynomials
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- subtracing Polynomials
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- Multiplying Polynomials
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- Dividing Polynomails
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- How to factor polynomials
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- Solved Examples Polynomials
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- polynomial Formative Assignment
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- Dividing Polynomial worksheet
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- Factoring polynomial worksheet
- |
- Polynomial Test Paper

Given below are the links of some of the reference books for class 9 Math.

- Mathematics for Class 9 by R D Sharma One of the best book for studying class 9 level mathematics. It has lot of problems to be solved.
- Secondary School Mathematics for Class 9 by R S Aggarwal This is also as good as R.D. Sharma. Either this or the book by R.D. Sharma will do. I find book R.S. Aggarwal little bit more challenging than the one by R.D. Sharma.
- Pearson IIT Foundation Series - Maths - Class 9 Buy this book if you want to challenge yourself further and want to prepare for JEE foundation.
- Pearson IIT Foundation Physics, Chemistry & Maths combo for Class 9 Only buy if you are prepared to study extra topics and want to take your studies a step further. You might need help to understand topics in these books.

You can use above books for extra knowledge and practicing different questions.

Class 9 Maths Class 9 Science

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