Class 9 Mathematics Quiz Chapter 2

Chapter 2 –  Polynomials

Play the below Class 9 Mathematics Quiz Chapter 2 Polynomials. These questions are very important for examination. We have provided a quiz from each chapter of class 9 Mathematics NCERT book. Check it on our website.


1. If \large\bf x+\frac{1}{x} = 3, then \large\bf x^{2}+\frac{1}{x^{2}} =

(A) \large\bf 8
(B) \large\bf 9
(C) \large\bf 7
(D) \large\bf 11

2. If \large\bf x^{2}+\frac{1}{x^{2}} = 102, then \large\bf x-\frac{1}{x} =

(A) \large\bf 11
(B) \large\bf 10
(C) \large\bf 9
(D) \large\bf 12

3. If \large\bf x^{3}+\frac{1}{x^{3}} = 110, then \large\bf x+\frac{1}{x} =

(A) \large\bf 10
(B) \large\bf 15
(C) \large\bf 5
(D) \large\bf 25

4. If \large\bf x^{3}-\frac{1}{x^{3}} = 364, then \large\bf x-\frac{1}{x} =

(A) \large\bf 8
(B) \large\bf 7
(C) \large\bf 11
(D) \large\bf 9

5. If \large\bf a+\space b\space +c=0, then \large\bf \frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab} =

(A) \large\bf 0
(B) \large\bf 1
(C) \large\bf -1
(D) \large\bf 3

6. If \large\bf a^{\frac{1}{3}}\space+b^{\frac{1}{3}}+c^{\frac{1}{3}} =0, then

(A) \large\bf a\space+b\space+c=0
(B) \large\bf (a\space+b\space+c)^{3}=27\space abc
(C) \large\bf a\space+b\space+c=3\space abc
(D) \large\bf a^{3}\space+b^{3}\space+c^{3}=0

7. If \large\bf x^{2}-1 is a factor of \large\bf ax^{4}+bx^{3}+cx^{2}+dx+e, then

(A) \large\bf a\space + b\space + c\space +d\space +e\space =0
(B) \large\bf a\space + b\space  + c\space =\space d\space +e\space
(C) \large\bf a\space + c\space  + e\space =\space b\space +d\space
(D) \large\bf both\hspace{3pt} A\hspace{3pt} and\hspace{3pt} B

8. If \large\bf x\space +3 is a factor of \large\bf x^{3}+2x^{2}+9m, then \large\bf m=

(A) \large\bf 3
(B) \large\bf 1
(C) \large\bf 10
(D) \large\bf 9

9. The remainder when the polynomial \large\bf f(x) = x^{3}+x^{2}-4x+5 is divided by \large\bf x+1 is

(A) \large\bf 9
(B) \large\bf 10
(C) \large\bf 7
(D) \large\bf -1

10. The value of \large\bf k for which \large\bf x-2 is a factor of \large\bf 5x^{3}+2x^{2}-4x+k

(A) \large\bf 40
(B) \large\bf -40
(C) \large\bf 20
(D) \large\bf 30

11. The value of \large\bf (43)^{3}\space - \space (24)^{3}\space -\space (13)^{3} :

(A) \large\bf 43990
(B) \large\bf 43992
(C) \large\bf 40200
(D) \large\bf 0

12. The value of \large\bf (8)^{3}\space - \space (10)^{3}\space +\space (2)^{3} :

(A) \large\bf 480
(B) \large\bf 500
(C) \large\bf -480
(D) \large\bf 0

13. The factors of \large\bf x^{3}-7x+6 are:

(A) \large\bf x(x-6)(x-1)
(B) \large\bf (x^{2}-6)(x-1)
(C) \large\bf (x+1)(x+2)(x-3)
(D) \large\bf (x-1)(x+3)(x-2)

14. The product \large\bf (x-1)(x+1)(x^{2}+1)(x^{4}+1) equals to

(A) \large\bf x^{8}-1
(B) \large\bf x^{4}-1
(C) \large\bf x^{6}+1
(D) \large\bf x^{2}-1

15. If \large\bf a^{2}+b^{2}+c^{2}-ab-bc-ac=0, then

(A) \large\bf a\space +b\space = \space c
(B) \large\bf b\space +c\space = \space a
(C) \large\bf c\space +a\space = \space b
(D) \large\bf a\space =\space b\space = \space c



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