NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 5
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Exercise 2.3
Q.1. Classify the following polynomials as polynomials in one variable, two variables etc.
(i)
(ii)
(iii)
(iv)
Answer: (i) One variable (ii) One variable (iii) Three variable (iv) Two variables
Q.2. Determine the degree of each of the following polynomials:
(i)
(ii)
(iii)
(iv)
Answer: (i) 1 (ii) 0 (iii) 5 (iv) 7
Q.3. For the polynomial , write
(i) The degree of the polynomial
(ii) The coefficient of x3
(iii) The coefficient of x6
(iv) The constant term
Answer: (i) 6 (ii) (iii) –1 (iv)
Q.4. Write the coefficient of x2 in each of the following:
(i)
(ii)
(iii)
(iv)
Answer: (i) 1 (ii) 0 (iii) 3 (iv) –16
Q.5. Classify the following as a constant, linear, quadratic and cubic polynomials:
(i)
(ii)
(iii)
(iv)
(v) 3
(vi)
(vii)
(viii)
(ix)
(x)
Answer: Constant Polynomial: (v)
Linear Polynomials: (iii), (vi), (x)
Quadratic Polynomials: (iv), (viii), (ix)
Cubic Polynomials: (i), (ii), (vii)
Q.6. Give an example of a polynomial, which is:
(i) Monomial of degree 1
(ii) Binomial of degree 20
(iii) Trinomial of degree 2
Answer: (i) (ii) (iii)
Q.7. Find the value of the polynomial, when and also when.
Answer:
Q.8. If, evaluate:
Answer:
Q.9. Find for the following polynomials:
(i)
(ii)
Answer: (i)
(ii)
Q.10. Verify whether the following are true or false:
(i) is a zero of
(ii) is a zero of
(iii) is a zero of
(iv) 0 and 2 are the zeroes of
(v) is a zero of
Answer: (i) False (ii) True (iii) False (iv) True (v) True