Polynomials

Bihar Board Class 10 · Mathematics · 47 past questions

1. Q1 2026

   Sum of the zeroes of the polynomial $6x^2 - 7x - 3$ is

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2. Q2 2026

   Product of the zeroes of the polynomial $2x^2 + 3x + 1$ is

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3. Q3 2026

   Polynomial having zeroes $-3$ and $2$ is

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4. Q4 2026

   Factors of the polynomial $x^2-4x+3$ is

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5. Q5 2026

   Zeroes of the polynomial $x^2+7x+10$ are

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6. Q6 2025

   If one of the zeros of the polynomial $p(x)$ is 2 then which of the following is a factor of $p(x)$ ?

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7. Q7 2025

   If $\alpha$ and $\beta$ be the zeros of the polynomial $cx^2 + ax + b$ then the value of $\alpha \cdot \beta$…

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8. Q8 2025

   Which of the following quadratic polynomials has zeroes 3 and $-10$ ?

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9. Q9 2025

   If the sum of zeros of a quadractic polynomial is 3 and their product is $-2$ then that quadractic polynomial…

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10. Q10 2025

    If $p(x)=x^4-2x^3+17x^2-4x+30$ is divided by $q(x)=x+2$ then the degree of the quotient is

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11. Q11 2025

    The zeroes of the polynomial $2x^2 - 4x - 6$ are

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12. Q12 2025

    The degree of the polynomial $(x^3 + x^2 + 2x + 1)(x^2 + 2x + 1)$ is

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13. Q13 2025

    Which of the following is not a polynomial?

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14. Q14 2025

    Which of the following quadratic polynomials has zeroes 2 and $-2$?

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15. Q15 2025

    If α and β are the zeroes of the polynomial $t^2+7t+10$ then the value of α + β is

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16. Q16 2025

    If one zero of the quadratic polynomial $(k-1)x^2+kx+1$ is $-4$ then the value of $k$ is

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17. Q17 2024

    If $p(x)=x^4-5x+6$ and $q(x)=2-x^2$, then the degree of $\dfrac{p(x)}{q(x)}$ is

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18. Q18 2024

    If $(x+3)$ is a factor of $ax^2+x+1$ then the value of $a$ is

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19. Q19 2024

    Which of the following is not a polynomial ?

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20. Q20 2024

    The degree of the polynomial $(x^5+x^2+3x)(x^6+x^5+x^2+1)$ is

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21. Q21 2024

    The zeroes of the polynomial $x^2-11$ are

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22. Q22 2024

    If $-2$ and $-3$ are the zeroes of the quadratic polynomial $x^2+(a+1)x+b$, then

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23. Q23 2024

    If the product of zeroes of the polynomial $x^2-9x+a$ is 8 then the value of $a$ is

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24. Q24 2024

    Which of the following quadratic polynomials has zeroes 4 and $-2$ ?

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25. Q25 2024

    If $\alpha$ and $\beta$ are the zeroes of the polynomial $p(x)=x^2+3x-4$ then the value of…

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26. Q26 2024

    If one zero of the polynomial $q(x)$ is $-3$ then one factor of $q(x)$ is

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27. Q27 2024

    If $f(x)=x^4-2x^3-x+2$ is divided by $g(x)=x^2-3x+2$, then the degree of the quotient is

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28. Q28 2024

    If $\alpha$ and $\beta$ are the zeroes of the polynomial $x^2-3(x+1)-5$ then the value of…

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29. Q29 2023

    If $p(x) = 3x^3 + x^2 + 2x + 5$ is divided by $q(x) = x^2 + 2x + 1$, then the degree of quotient will be

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30. Q30 2023

    If polynomial $g(x) = 3x^2 - 7x + 2$, then the value of $g(-1)$ is

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31. Q31 2023

    The zeroes of the polynomial $x^2 - 16$ are

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32. Q32 2023

    If $\alpha$ and $\beta$ are zeroes of the polynomial $p(x) = x^2 - 3x + 5$, then the value of…

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33. Q33 2023

    If the product of zeroes of a polynomial $x^2 - 9x + 2a$ is 8, then the value of a will be

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34. Q34 2023

    If one zero of a polynomial p(x) is -1, then a factor of p(x) will be

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35. Q35 2023

    Which of the following quadratic polynomials has sum of zeroes -3 and product of zeroes 2?

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36. Q36 2023

    If $\alpha, \beta, \gamma$ are zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d = 0$ then the value of…

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37. Q37 2023

    The degree of the polynomial $(y^2 - 3y + 1)\cdot(y^5 - 4y^3 + y^2 + 3y)$ is

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38. Q38 2020

    The sum of the zeros of the quadratic polynomial $x(2x - 5) - 3$ is

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39. Q39 2020

    Which of the following is a plynomial ?

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40. Q40 2020

    The zeroes of the polynomial $x^2 + \frac{1}{6}x - 2$ are

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41. Q41 2020

    In the following which is the quadratic polynomial whose sum of zeros is 3 and product is $-10$?

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42. Q42 2020

    Which of the following are zeroes of $x^2 - \sqrt{2}x - 12$ ?

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43. Q43 2019

    If $p(x) = x^2 - 3x - 4$, then one of the zeros of $p(x)$ is -

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44. Q44 2019

    Zeros of the quadratic polynomial $x^2 - 2$ are -

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45. Q45 2019

    In the following quadratic polynomial whose sum of zeros is -3 and product is 2?

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46. Q46 2017

    If $\alpha, \beta$ are the zeros of the quadratic polynomial $p(x) = x^2 + 7x + 10$, then the value of…

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47. Q47 2016

    If $\alpha$ and $\beta$ are the zeros of quadratic polynomial $q(x) = x^2 - x + 4$, then the value of…

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