Ncert Solutions For Class 9 Maths Ex 2.1

Ncert Solutions For Class 9 Maths Chapter 2 Ex 2.1

Q.1.Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

(i)4x23x+7

Answer: It is a polynomial in one variable.

 

(ii) y2+2

Answer: It is a polynomial in one variable.

 

(iii) 3t+t2

Answer: It is not a polynomial since the power of the variable is not a whole number.

 

(iv) y+2y

Answer: It is not a polynomial since the power of the variable is not a whole number.

 

(v) x10+y3+t50

Answer: It is a polynomial in three variables.

 

Q.2. Write the coefficients of a2 in each of the following:

(i) 2+a2+a

Answer: Coefficient of a2 is 1.

 

 (ii) 2a2+a3

Answer: Coefficient of a2 is -1.

 

 (iii) π2x2+x

Answer: Coefficient of a2 is π2.


(iv)
2x1

Answer: Coefficient of a2 is 0.

 

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

Answer: 3x35+5and4x100

 

Q.4. Write the degree of each of the following polynomials:

(i) 5a3+4a2+7a

Answer : Degree is 3.
(ii) 3b2

Answer : Degree is 2.
(iii) 5t8

Answer : Degree is 1.

 

(iv)8

Answer : No Degree.

 

Q.5. Classify the following as linear, quadratic and cubic polynomial.

(i) a2+a

Answer: Quadratic Polynomial

 

(ii)aa3

Answer: Cubic Polynomial

 

(iii) y+y2+4

Answer: Quadratic Polynomial

 

(iv)1 + x

Answer: Linear Polynomial

 

(v) 3a

Answer: Linear Polynomial

 

(vi) a2

Answer: Quadratic Polynomial
(vii) 6a3

Answer: Cubic Polynomial

 

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