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Class 10 Maths Practice Test: Zeros and Coefficients of Polynomial
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Class 10 Maths Practice Test: Zeros and Coefficients of Polynomial
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20 Questions

1. The zeros of the polynomial 18x2-27x+7 are ___________
2. The zeros of the polynomial 18x2-27x+7 are ___________
3. If α and β are the zeros of x2 + bx + c, then the polynomial having -α, -β as zeros is _______
4. What will be the polynomial if the value of α + β + γ = -√3 , αβ + βγ + γα = 4 and = \(\frac {-5}{3}\)?
5. If α and β are the zeros of 10x2+20x-80, then the value of \(\frac {1}{\alpha } + \frac {1}{\beta }\) is _______
6. What will be the value of (α – β)2, if α and β are the zeros of 4x2 – 27x – 40?
7. If α, β and γ are the zeros of 2x3 – 6x2 + 5x + 2, then the value of α + β + γ is _______
8. What will be the polynomial if the value of α + β + γ = -√3 , αβ + βγ + γα = 4 and = \(\frac {-5}{3}\)?
9. If α and β are the zeros of x2+20x-80, then the value of α+β is _______
10. If β and γ are the zeros of the polynomial ax3 + bx2 + cx + d, then the value of α2 + β2 + γ2 is _________
11. What will be the value of other zero, if one zero of the quadratic polynomial is 5 and the sum of the zeros is 10?
12. The value of a and b, if the zeros of x2+(a+5)x-(b-4) are -5 and 9 will be _________
13. If α, β and γ are the zeros of 5x3 + 10x2 – x + 20, then the value of αβγ is _______
14. The sum and product of zeros of a quadratic polynomial are 10 and \(\frac {5}{2}\) respectively. What will be the quadratic polynomial?
15. What will be the value of (α – β)2, if α and β are the zeros of 4x2 – 27x – 40?
16. What will be the value of k, if one zero of x2+(k-3)x-16=0 is additive inverse of other?
17. If α and β are the zeros of 3x2-5x-15, then the value of αβ is _______
18. If α and β are the zeros of x2 – (5 + 7k)x + 35k, such that α2 + β2 = 172 is then the value of k is _______
19. The value of a and b, if the zeros of x2+(a+5)x-(b-4) are -5 and 9 will be _________
20. If α and β are the zeros of 3x2-5x-15, then the value of αβ is _______

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