Class 10 Maths · Polynomials · NCERT Exercise 2.4 · Question 1

Polynomials Medium

For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation.

(i) $- \frac{8}{3}, \frac{4}{3}$
(ii) $\frac{21}{8}, \frac{5}{16}$
(iii) $- 23, - 9$
(iv) $- \frac{3}{2 5}, - \frac{1}{2}$

Answer

(i)

3 x^{2} + 8 x + 4

, zeroes

- 2/3

and

- 2

; (ii)

16 x^{2} - 42 x + 5

, zeroes

1/8

and

5/2

; (iii)

x^{2} + 23 x - 9

, zeroes

3

and

- 33

; (iv)

25 x^{2} + 3 x - 5

, zeroes

1/ 5

and

- 5 /2

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