Math Questions Extracted from Images
From Image 1
37. If (x/y + y/x = 1), find x^3 - y^3
38. Find k, if x^2 + kx + 6 = (x+2)(x+3)
39. Find the value of p for which 2p is a factor of x^2 + px + 3 - p
40. If a + b + c = 0, find a^3 + b^3 + c^3
41. If ax + 1/x = 2y, find x^2 - 1/x^2
42. Find B if the polynomial x^3 - 3x^2 + Bx - 6 is divisible by (x - 3)
43. Find the remainder on dividing 5y^3 - 2y^2 - 4y + 1 by y + 1
44. Write a polynomial in which all coefficients of any power of x are zero
From Image 2
46. (81)^(-1/4) * fourth root of 81 = x^(10 ÷ 2)
47. (81)^(2/3) ÷ (27)^(4/3)
48. x^12 = 4a^24, find x
49. (27/125)^(2/3)
50. (3√22 / 125) - (5 / 7)
Chapter 2
1. m^2 - 8 is an example of ______ polynomial.
2. 6 is an example of ______
3. m^2 + 3m + 2 is a polynomial of ______ variable.
4. The coefficient of x^2 in x^2 + 7x - 2x^2
5. The degree of √5 is ______
6. y^3 + 10 is a ______ polynomial.
7. What is the value of (3 2/5)^2 + (4 1/7)^2
8. The zero of the polynomial -3x + 3
9. Define with example: a) Linear b) Quadratic c) Cubic
From Image 3
10. What is the degree of zero polynomial?
11. If y^9t + y^4t^5 - y^t+1, find the remainder
12. If x + 1 is a factor of the polynomial 2x^2 + kx, find k
13. Find (a^9)^2 - (a^3)^2
14. The factorization of 6x^2 + 11x + 3
15. The number of zeroes of x^2 + 4x + 2
16. The degree of the polynomial 2t + √(x^2 - 1)
17. If 3t^2 - 8 = 20, find 3t^3 + (5t)^3 + (8)^3
18. The value of 104 × 96
19. The value of (5.63 × 5.63) + (11.26 × 2.37) + (2.37 × 2.37)
20. The value of (36)^3 + (139)^3 ÷ (36)^2 - 361 × 139 + (139)^2
21. If xy = 3, x^2 + y^2 = 5, then x^3 + y^3 =
22. If x + 2 is a factor of x^3 - 2ax^2 + 7x, find a
From Image 4
23. If one of the factors of x^2 + 2x - 20 is (x + 5), find the other
24. Give an example of a binomial of degree 20
25. x^2 - 2x is a ______ polynomial.
26. Solution of x^2 + 5x - 6 = 0
27. Factorise 3x^2 - 3x + 2
28. If (x+2) is a factor of x^3 - 2x^2 + 16, find the value of a such that (x - 2) is a factor of x^4 + ax^3 + 2x^2 - 3x
29. A polynomial of degree five in x has at most ______ terms.
30. The zero of the polynomial 2x + 7
31. √3 is a polynomial of degree ______
32. Degree of zero polynomial ______
33. Degree of 9t - 7
34. Zero of 9t + 4
35. The number of zeroes of x^3 + x - 3 - 3x^2
36. Find the product of (x - 1/x)(x + 1/x) = x^2 + 1/x^2