Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) (4x^2-3x+7)

1. 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) (3sqrt t+tsqrt 2)         

(iv) (y+{2over y})

Polynomials

Exercise 2.1

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Class 9

Polynomials

Exercise 2.1

1. 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) (3sqrt t+tsqrt 2)         

(iv) (y+{2over y})

2. Write the coefficients of (x^2) in each of the following:

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

(ii) (2-x^2+x^3)               

(iii) ({piover{2}}x^2+x)

(iv) (sqrt 2x-1)

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

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

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

(i) (5x^3+4x^2+7x)

(ii) (4-y^2)

(iii) (5t-sqrt 7)

(iv) 3

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) (3t) 

(vi) (r^2)     

(vii) (7x^3)