Class 10, Polynomials, CBSE Online, Test Paper (Set-I)

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Q1.If 1 is a zero of the polynomial p(a)=x²a²-2xa+3x-2 . Then x=

-1, -2

2, 1

2,-1

-2, 1

2. Q2. The number of polynomials having zeroes -2 and 5 is:

1

3

2

more than 3

3. Q3. If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial.

(x-5)(x+5)

x² - 25

x-5

x² - 5

4. Q4. If α, ß are zeroes of polynomial f(x) = x² + px + q then polynomial having  and  as its zeroes is :

x² + qx + p

qx² + px + 1

x² - px + q

px² + qx + 1

5. Q5. If the degree of the dividend is 5 and the degree of the divisor is 3, then the degree of the quotient will be

0

2

1

-2

6. Q6. The graph of the polynomial f(x) = 2x - 5 crosses the X-axis at the point

(1, -3)

(5/2, 0)

(0, 0)

(4, 3)

7. Q7. The value of p when x³ + 9x² + px - 10 is exactly divisible by (x+ 2 ) is ____

1

6

3

9

8. Q8.If the product of two zeros of the polynomial f(x) = 2x³ + 6x² - 4x + 9 is 3, then its third zero is

3/2

9/2

-9/2

-3/2

9. Q9.The value of quadratic polynomial f (x)=2x²- 3x- 2 at x =-2 is ……

15

16

-12

12

10. Q10.If one root of the equation (p + q)² x² - 2 (p + q) x + k =0 is 5/p+q , then k is

15

50

-15

-50

11. Q11. The graph of y = p(x) is given below. The number of zeroes of p(x) are :

3

0

4

2

12. Q12. The graph y= p(x) is shown below. How many zeroes does the polynomial p(x) have?

2

4

3

1

13. Q13. Given a polynomial p(x) of degree ‘n’, the graph of y = p(x) intersects the X-axis

at most n points

at most n - 1 points

at most n + 1 points

at most 0 points

14. Q14.The degree of the polynomial 8x³- 3x²+ 5x -9 is

3

0

1

2

15. Q14. If α and β are the zeroes of the quadratic polynomial f (x) =x² +2x+1, then find .

2

-2

-1

0

16. Q16. Polynomial will have zeroes

-1

2 and -1

-2 and -1

-5

17. Q17. If one zero of 2x² - 3x + k is reciprocal to the other, then the value of k is :

-3

2

-3/2

-2/3

18. Q18. If sum of the squares of zeros of the quadratic polynomial f(x) = x² - 8x + k is 40, find the value of k.

14

12

-14

-12

19. Q19. If  the polynomial (2x + 3 ) is a factor of the polynomial  2x³  +   9x²  -  x  –  b. The value of b is_______

10

20

5

15

20. Q20. If α and β are the zeroes of the polynomial 5x² - 7x + 2, then sum of their reciprocals is::

7/2

14/25

7/5

2/5

21. Q21. The polynomial drawn in above graph has how many zeros?

1

3

4

2

22. Q22. In figure, the graph of a polynomial p (x) is shown, the number of zeroes of p (x) is :

1

0

2

None of these

23. Q23. If the degree of the divisor g(x) is one then the degree of the remainder r(x) is

2

3

1

0

24. Q24.When x² - 2x + k divides the polynomial x⁴ - 6x³ + 16x² - 25x + 10, the remainder is (x + a) . The value of a is __________

5

-5

-3

3

25. Q25. A fourth degree polynomial is called

Cubic polynomial

A bi-quadratic polynomial

Binomial

Quadratic polynomial

26. Q26. The zero of the polynomial represented by the given graph

Does not exist

Is 3

Is y= 3

Is 0

27. Q27. The following graph corresponds to a

Linear polynomial

Bi- quadratic polynomial

Quadratic polynomial

Cubic polynomial

28. Q28. When x³ - 3x² + 5x - 3 is divided by x² - k , the remainder is 7x + a . Then the value of k is_____

1

2

3

6

29. Q29.  If α,β,γ are the zeros of the polynomial 2x³ + x² - 13x + 6, then the value of αβγ is

-3

-13/2

3

1/2

30. Q30. If (x + 1) is a factor of x² - 3ax + 3a - 7, then the value of a is:

-2

1

-1

0

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