# NCERT Mathematics Class 9 Exemplar Ch 2 Polynomials Part 6

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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)