Class 10, Polynomials, CBSE Online Test Paper (Set – III)

1. There will be total 20 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. If α, β  and γ are the zeroes of a cubic polynomial then the sum of zeroes of cubic polynomial is given by:

 α+β+γ= -d/a

 α+β+γ= c/a

 α+β+γ= b/a

  α+β+γ= -b/a

2. what is the correct option for  

 It is a Quadratic polynomial

 It is a Cubic polynomial

  It is not a polynomial.

 It is a bi-quadratic polynomial

3. The graph of a quadratic polynomial is a parabola which cuts the X- axis at

 at most two points

 four points

 one point only

 at most three points

4. If α , β are zeroes of the polynomial f(x) = x² + 5x + 8, then value of (α + β) is

 8

 -8

 -5

 5

5. If the two zeroes of the quadratic polynomial 7x² – 15x – k are reciprocals of each other, the value of k is:

 1/7

 -7

 7

 5

6. A polynomial of degree 2 is called a

 Quadratic polynomial

 Binomial

 Biquadratic polynomial

 Trinomial

7. If α, β, γ  be the zeros of the polynomial p(x) such that α+ β+ γ = 3 , αβ+ βγ+ γα = -10 and αβγ = -24 then p(x) is

 x³ – 3x² – 10x – 24

 x³ + 3x² – 10x + 24

  x³ + 3x² + 10x – 24

 x³ – 3x² – 10x + 24

8. Find the quadratic polynomial whose zeros are 2 and -6.

 x² + 4x – 12

 x² + 4x + 12

 x² – 4x – 12

  x² – 4x + 12

9. The zero of the polynomial that this graph represents is

 (0,-2)

 (-2,0)

 (0,2)

 (2,0)

10. The sum and product of zeros of a quadratic polynomial are 2 and -15 respectively. The quadratic polynomial is

 x² + 2x – 15

 x² – 2x + 15

 x² + 2x + 15

 x² – 2x – 15

11. If two of the zeros of the polynomial x⁴ – 17 x³ + 90 x² – 166 x + 92 are   , then the other two zeros are _________

 1 and 2

 7 and -7

 2 and 3

 (7 + √3) – (7 – √3)

12. If the polynomial p(x) is divisible by x – 4 and 2 is a zero of p(x) then which of the following is a factor of p(x)?

 x² – 6x+ 8

 x² + 6x – 8

 x² – 6x – 8

 x² + 6x + 8

13. If (x-2) and (x-) are the factors of the polynomial qx²+5x+p, then find the relation between p and q.

 p

 p≠q

 p=q

 p>q

14. If f(x) is divided by g(x), g(x) ≠ 0 , then there exist two polynomials q(x) and r(x) such that

 f(x) = g (x) q (x) + r (x)

 g(x) = f(x) q (x) + r (x)

 r(x) = f(x) g(x) + q(x)

  q(x) = f(x) g(x) – r(x)

15. On dividing f(x) = x³ – 3x² + x + 2 by a polynomial g(x) the quotient and remainder q(x) and r(x) are (x – 2) and (-2x + 4) respectively, then g(x) is

 x² + x – 3

 x² – x + 1

 2x² – 1 + x

 x² + x – 1

16. If (x + 1) is a factor of 2x³ + ax² + 2bx + 1, then find the values of a and b given that 2a – 3b = 4.

 a = 5, b = 5

 a = 2, b = 5

 a = 2, b = 2

 a = 5, b = 2

17. If 1 is a zero of the polynomial P(a) = x²a² – 2xa + 3x – 2 . Then x = ___________

  2,-1

 -1,-2

  -2,1

 2,1

18. When the polynomial f(x) = 4x³ + 8x² + 8x + 7 is divided by the polynomial g(x) = 2x² – x + 1, the quotient and the remainder are

  Quotient = x² – 5, Remainder = 15

 Quotient = 2x – 5, Remainder = 11x

  Quotient = x -5, Remainder = 13

 Quotient = 2x + 5, Remainder = 11x + 2

19. A polynomial of degree three is called

  quadratic polynomial

  linear polynomial

  cubic polynomial

 zero polynomial

20. If one zero of polynomial f(x) = (k² + 4)x² + 13x + 4k is reciprocal of the other, then k =

 -2

 1

 -1

 2

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