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Question 1 of 30

Math

1. If 4x³ – 4x + 2 is divided by x – 2 then remainder is:

Question 1 of 30

Question 2 of 30

2. a³ + 3a²b + 3ab² + b³ = ?

(a – b)³

a³ + b³

a³ – b³

(a + b)³

Question 2 of 30

Question 3 of 30

3. What will be added to complete the square of 4a² + 4ab?

2b²

– 4b²

4b²

b²

Question 3 of 30

Question 4 of 30

4. (x + y)(x² – xy + y²) = ?

x³ + y³

(x + y)³

x³ – y³

(x – y)³

Question 4 of 30

Question 5 of 30

5. Factors of ka + kb + kc are:

k(a + b + ck)

k(a + b + c)

k²(a + b + ck)

(a + b + c)k³

Question 5 of 30

Question 6 of 30

6. For what value of ‘k’, x² + 6x + k will be a complete square?

Question 6 of 30

Question 7 of 30

7. Factors of 27x³– 1/x³ are:

(3x + 1/x),(9x² – 3 + 1/x²)

(3x – 1/x),(9x² + 3 + 1/x²)

(3x + 1/x),(9x² + 3 + 1/x²)

(3x – 1/x),(9x² – 3 + 1/x²)

Question 7 of 30

Question 8 of 30

8. Factors of ac + ad + bc + bd are:

(c + d)(a + b)

(a² – b²)(c² + d²)

(a + b)²(c + d)²

(a² + c²)(b² + d²)

Question 8 of 30

Question 9 of 30

9. Factors of x⁴ – 4y⁴ are:

(x – y),(x + y),(x² – 4y²)

(x – 2y),(x² + 2y²)

(x – y),(x + y),(x² + 4y²)

(x² – 2y²),(x² + 2y²)

Question 9 of 30

Question 10 of 30

10. The factors of x² – 5x + 6 are:

x + 6, x – 1

x – 2, x – 3

x + 2, x + 3

x + 1, x – 6

Question 10 of 30

Question 11 of 30

11. Factors of x² – 7x + 12 are:

(x + 3)(x + 4)

(x – 3)(x – 4)

(x + 3)(x – 4)

(x - 3)(x + 4)

Question 11 of 30

Question 12 of 30

12. Factors of 27x³ – 1/x³ are:

(3x – 1/x) , (9x² – 3 + 1/x²)

(3x – 1/x) , (9x² + 3 + 1/x²)

(3x + 1/x) , (9x² + 3 + 1/x²)

(3x + 1/x) , (9x² – 3 + 1/x²)

Question 12 of 30

Question 13 of 30

13. Factors of 8x³ – 1/27y³ are

(2x + 1/3)(4x² + 2x/3y + 1/9y²)

(2x – 1/3)(4x² + 2x/3y + 1/9y²)

(2x – 1/3)(4x² – 2x/3y + 1/9y²)

(2x + 1/3)(4x² – 2x/3y + 1/9y²)

Question 13 of 30

Question 14 of 30

14. If (x – 2) is factor of p(x) = x² + 2kx + 8, then k is equal to:

– 3

– 2

Question 14 of 30

Question 15 of 30

15. Factorize 4x² – 25x⁴:

(2x – 5x)(2x + 5x²)

(2x – 5x²)(2x + 5x²)

(2x – 5x)(2x + 5x)

(5 – 2x)(2x + 5x)

Question 15 of 30

Question 16 of 30

16. Find m so that x² + 4x + m is a complete square.

– 8

Question 16 of 30

Question 17 of 30

17. Factors of x⁴ – 16 are:

(x² –2),(x² + 4)

(x – 2),(x + 2),(x² + 4)

(x² –2),(x² + 2)

(x – 2),(x + 2),(x²– 4 )

Question 17 of 30

Question 18 of 30

18. If 9x² – 6x + 2 is divided by x – 3 then remainder is:

101

Question 18 of 30

Question 19 of 30

19. Factors of 1 + 2ab – a² – b² are:

(1 – a – b)(1 – a – b)

(1 – a + b)(1 – a – b)

(1 – a – b)(1 + a + b)

(1 – a + b)(1 + a – b)

Question 19 of 30

Question 20 of 30

20. What will be added to complete the square of 9a² – 12ab?

– 4b²

4b²

– 16b²

16b²

Question 20 of 30

Question 21 of 30

21. Factors of 4a² – 16 are:

(2a – 2),(2a – 2)

(2a + 2),(2a – 2)

(2a + 4),(2a + 4)

(2a + 4),(2a – 4)

Question 21 of 30

Question 22 of 30

22. For what value of m, x²+4x+m will be a complete square?

– 8

Question 22 of 30

Question 23 of 30

23. Factors of 1 – 125x³ are:

(1 + 5x)(1 + 5x + 25x²)

(1 + 5x)(1 – 5x + 25x²)

(1 – 5x)(1 + 5x + 25x²)

(1 – 5x)(1 – 5x – 25x²)

Question 23 of 30

Question 24 of 30

24. Factors of 5x² – 17xy – 12y² are:

(x – 4y),(5x + 3y)

(5x – 4y),(x + 3y)

(x – 4y),(5x – 3y)

(x + 4y),(5x + 3y)

Question 24 of 30

Question 25 of 30

25. Factors of 8x³ + 27y³ are:

(2x + 3y),(4x² + 9y²)

(2x + 3y),(4x² – 6xy + 9y²)

(2x – 3y),(4x² + 6xy + 9y²)

(2x – 3y),(4x² – 9y²)

Question 25 of 30

Question 26 of 30

26. Factors of x² + 5x + 6 are:

x + 2, x + 3

x + 1, x – 6

x + 6, x – 1

x – 2, x – 3

Question 26 of 30

Question 27 of 30

27. Factors of 3x² – x – 2 are:

(x + 1),(3x + 2)

(x – 1),(3x + 2)

(x – 1),(3x – 2)

(x + 1),(3x – 2)

Question 27 of 30

Question 28 of 30

28. Factors of a²/b² – 2 + b²/a² are:

(a/b – b/a)²

(a/b + b/a)²

(a/b – b/a)³

(a/b + b/a)³

Question 28 of 30

Question 29 of 30

29. The polynomial (x – a) is the factor of p(x) if:

p(a) = 0

p(x) = 0

p(a) ≠ 0

none of these

Question 29 of 30

Question 30 of 30

30. What should be added in 4a² – 12ab to make it a complete square?

– 3b²

– 9b²

9b²

3b²

Question 30 of 30

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Test By Topics	9th Class Math

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