High Difficulty Polynomials and Factoring MCQ Test 1

1. What is the remainder when dividing 3x^5 - 2x^4 + x^3 - 5x^2 + 4x - 1 by x - 2?

2. Solve for x: √9 = x

3. Calculate the value of √196

4. Solve for x: √(x^2) = 9

5. If n(x) = x^2 - 3x + 2, what is n(2)?

6. Solve for x: √(4x^2) = 30

7. Simplify the expression: √162 - √50

8. Solve for x: √(4x^2) = 10

9. If √x = 7, what is the value of x?

10. Simplify the expression: √81 + √36 - √64

11. Simplify the expression: √49 - √36 + √64

12. Evaluate: √121 / √11

13. Determine the roots of the equation: 2x^2 - 7x + 5 = 0

14. If f(x) = x^4 - 5x^3 + 9x^2 - 7x + 2, what is f(1)?

15. What is the square root of 98?

16. If √x = 6, what is the value of x?

17. Solve for x: √16x = 256

18. Simplify the expression: √81 + √64 - √100

19. Calculate the value of √100

20. Evaluate: √25 - √16 + √9

21. Factorize: x^2 + 10x + 25

22. What is the square root of 25?

23. What is the value of √(4 + √9)?

24. What is the root of the equation x^2 - 6 = 0?

25. Solve for x: √(4x^2) = 20

26. Factorize the expression: 3x^2 - 5x + 2

27. Simplify the expression: √27

28. Simplify the expression: √16

29. Evaluate: √169 / √13

30. If √x = 3, what is the value of x?

31. If √x = 8, what is the value of x?

32. Solve for x: √16x = 32

33. What is the square root of 50?

34. Solve for x: √4x = 8

35. Calculate the value of √225

36. If m(x) = x^3 - 4x^2 + 6x - 1, what is m(1)?

37. Find the sum of the cubes of the roots of the equation: 3x^3 - 4x^2 + 5x - 1 = 0

38. What is the solution to the equation 5x^2 + 2x - 1 = 0?

39. If √x = 5, what is the value of x?

40. What is the cube root of 125?

41. Evaluate: √144 + √169

42. Solve for x: x^4 - 6x^2 + 9 = 0

43. Solve for x: √x^2 = 36

44. What is the cube root of 27?

45. Calculate the value of √81

46. Evaluate: √64 + √81

47. If g(x) = x^5 - 2x^4 + 3x^3 - 4x^2 + 5x - 6, what is g(-2)?

48. Evaluate: √144 / √9

49. What is the sum of the coefficients in the polynomial 2x^3 - 5x^2 + 3x - 7?

50. Calculate the value of √121