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

Your comments:

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

Your comments:

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

Your comments:

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

8

-8

-5

5

Your comments:

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

Your comments:

6. A polynomial of degree 2 is called a

Quadratic polynomial

Binomial

Biquadratic polynomial

Trinomial

Your comments:

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

Your comments:

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

x² + 4x - 12

x² + 4x + 12

x² - 4x - 12

x² - 4x + 12

Your comments:

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

(0,-2)

(-2,0)

(0,2)

(2,0)

Your comments:

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

Your comments:

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)

Your comments:

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

Your comments:

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

Your comments:

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)

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

19. A polynomial of degree three is called

quadratic polynomial

linear polynomial

cubic polynomial

zero polynomial

Your comments:

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

-2

1

-1

2

Your comments:

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