NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Q. 11. Find the zeroes of the polynomial in each of the following:

(i)

(ii)

(iii)

(iv)

Answer: (i) 4 (ii) (iii) (iv) 0

Q. 12. Find the zeroes of the polynomial:

Answer: 0

Q. 13. By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial:

Answer:

Q. 14. By Remainder Theorem find the remainder, when p (x) is divided by g (x) , where

(i)

(ii)

(iii)

(iv)

Answer: (i) 0 , (ii) 62, (iii) , (iv)

Q. 15. Check whether p (x) is a multiple of g (x) or not:

(i)

(ii)

Answer: (i) No (ii) No

Q. 16. Show that:

(i)

(ii)

Q 17. Determine which of the following polynomials has a factor:

(i)

(ii)

Answer: (i)

Q. 18. Show that is a factor of and also of

Q. 19. For what value of m is divisible by ?

Answer: 1

Q. 20. If x + 2a is a factor of , find a.

Answer:

Q. 21. Find the value of m so that be a factor of

Answer:

Q. 22. If is a factor of , find the value of a.

Answer: 2

Q. 23. Factorise:

(i)

(ii)

(iii)

(iv)

Answer:

(i)

(ii)

(iii)

(iv)