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

In this page we have *NCERT book Solutions for Class 9th Maths:Polynomial* for
EXERCISE 1 . Hope you like them and do not forget to like , social share
and comment at the end of the page.

Which of the following expressions are polynomials in one variable and which are

not? State reasons for your answer.

4

3 √

(i) 4

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

(ii)

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

(iii) 3 √

No. It can be observed that the exponent of variable t in term 3 √

(iv) y+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)

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

- 2 +
*x*^{2}+*x* - 2 –
*x*^{2}+*x*^{3} - (π/2)x
^{2}+ x - √ 2
*x*−1

(i) 2+x

Coefficient of x

(ii) 2−x

Coefficient of x

(iii) (π/2)x

Coefficient of x

(iv) √ 2

There is no term consisting of x

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

Write the degree of each of the following polynomials:

(i) 5

(ii) 4 –

(iii) 5

(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)

(ii)

(iii)

(iv) 1 +

(v) 3

(vi)

(vii) 7

(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

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