Polynomial worksheet

GRADE X
Question Bank (MATHEMATICS)
Chapter-2 Polynomials
1 marks:
1. If one zero of the quadratic polynomial 𝑥2 + 3𝑥 + 𝑘 is 2 then the value of k is
[BOARD 2023]

a) 10 b) -10 c) 5 d) -5
2. If one zero of the quadratic polynomial 𝑘𝑥2 + 3𝑥 + 𝑘 is 2 then the value of k is

a) 5/6 b) -5/6 c) 6/5 d) -6/5
3. If one zero of the quadratic polynomial (𝑘 − 1)𝑥2 + 𝑘𝑥 + 1 is -3 then the value of k is

a) 4/3 b) -4/3 c) 2/3 d) -2/3
4. If -1 is a zero of the polynomial 𝑘𝑥2 − 4𝑥 + 𝑘, the value of k is

a) -4 b) -2 c) 2 d) 4
5. If -1 is a zero of the polynomial 𝑥2 − 7𝑥 − 8 then other zero is,

a) 4 b) 8 c) 1 d) -4
6. If one zero of the polynomial 3𝑥2 + 8𝑥 + 𝑘 is the reciprocal of the other, then value of
k is
a) 3 b) -3 c) 1/3 d) -1/3
2
7. If one zero of the polynomial 6𝑥 + 37𝑥 − (𝑘 − 2) is the reciprocal of the other, then
value of k is [BOARD 2023]
a) -4 b) -6 c) 4 d) 6
8. If one zero of the polynomial 𝑥2 − 3𝑘𝑥 + 4𝑘 be twice the other, then the value of k is
[BOARD 2023]
a) -2 b) 2 c) 1 1
2 d) −
2

9. If sum of the zeros of the quadratic polynomial 2𝑥2 − 𝑘√2𝑥 + 1 is √2 then the
value of k is [BOARD 2024]

a) √2 b) 2 c) 2√2 d)
1
2

10. The sum of zeros of the polynomial √2𝑥2 − 17 are [BOARD 2023]
a) 17√2
b) 17√2 c) 0 d) 1
2
− 2

11. If the zeros of the quadratic polynomial 𝑥2 + (𝑎 + 1)𝑥 + 𝑏 are 2 and -3 then

, a) 𝑎 = −7, 𝑏 = −1 b) 𝑎 = 5, 𝑏 = −1 c) 𝑎 = 2, 𝑏 = −6 d) 𝑎 = 0, 𝑏 = −6