Factor Theorem – Further Maths
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Question 1 of 45
1. Question
Show that x^3 + 16x^2 + 83x + 140 has (x + 7) as a factor, using long division
CorrectIncorrect -
Question 2 of 45
2. Question
Show that x^3 + 14x^2 + 60x + 72 has (x + 2) as a factor, using long division
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Question 3 of 45
3. Question
Show that x^3 – 2x^2 – 5x + 6 has (x – 1) as a factor, using long division
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Question 4 of 45
4. Question
Show that x^3 + 3x^2 – 4x – 12 has (x – 2) as a factor, using long division
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Question 5 of 45
5. Question
Show that 4x^3 + 8x^2 – 11x + 3 has (x + 3) as a factor, using long division
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Question 6 of 45
6. Question
Show that 12x^3 + 16x^2 – 4x – 8 has (4x + 4) as a factor, using long division
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Question 7 of 45
7. Question
Show that x^4+12x^3 + 51x^2 + 88x + 48 has (x + 3) as a factor, using long division
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Question 8 of 45
8. Question
Show that x^4 + 11x^3 + 42x^2 + 64x + 32 has (x + 2) as a factor, using long division
CorrectIncorrect -
Question 9 of 45
9. Question
Show that x^4 + 9x^3 + 30x^2 + 44x + 24 has (x + 3) as a factor, using long division
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Question 10 of 45
10. Question
Show that x^4 – 11x^2 + 18x – 8 has (x – 2) as a factor, using long division
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Question 11 of 45
11. Question
Show that x^4 + 2x^3 – 7x^2 – 8x + 12 has (x – 2) as a factor, using long division
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Question 12 of 45
12. Question
Show that x^4 + x^3 – 7x^2 – 13x – 6 has (x + 2) as a factor, using long division
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Question 13 of 45
13. Question
Show that 2x^4 + 10x^3 + 6x^2 – 10x – 8 has (2x + 2) as a factor, using long division
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Question 14 of 45
14. Question
Show that 4x^4 – 10x^3 – 6x^2 + 16x + 8 has (x – 2) as a factor, using long division
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Question 15 of 45
15. Question
Show that 2x^4 + 16x^3 + 34x^2 – 4x – 48 has (x + 3) as a factor ,using long division
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Question 16 of 45
16. Question
Divide x^3 + 19x^2 + 118x + 240 by (x + 7)
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Question 17 of 45
17. Question
Divide x^3 + 25x^2 + 208x + 576 by (x + 7)
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Question 18 of 45
18. Question
Divide x^3 + x^2 – 5x + 3 by (x – 3)
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Question 19 of 45
19. Question
Divide x^3 + 7x^2 + 8x – 16 by (x + 2)
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Question 20 of 45
20. Question
Divide 16x^3 – 12x – 4 by (2x – 1)
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Question 21 of 45
21. Question
Divide 12x^3 – 17x^2 – 26x + 24 by (2x – 2)
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Question 22 of 45
22. Question
Divide x^4 + 6x^3 + 13x^2 + 12x + 4 by (x + 4)
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Question 23 of 45
23. Question
Divide x^4 + 11x^3 + 42x^2 + 64x + 32 by (x +3 )
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Question 24 of 45
24. Question
Divide x^4 + 10x^3 + 33x^2 + 40x + 16 by (x + 2)
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Question 25 of 45
25. Question
Divide x^4 – 6x^2 – 8x – 3 by (x – 2)
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Question 26 of 45
26. Question
Divide x^4 + 3x^3 – 3x^2 – 11x – 6 by (x – 3)
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Question 27 of 45
27. Question
Divide x^4 + 3x^3 – 13x^2 – 51x – 36 by (x – 2)
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Question 28 of 45
28. Question
Divide 16x^4 + 32x^3 – 24x^2 – 72x – 27 by (x + 4)
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Question 29 of 45
29. Question
Divide 8x^4 + 4x^3 – 24x^2 + 4x + 8 by (x + 1)
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Question 30 of 45
30. Question
Divide 4x^4 + 20x^3 – 5x^2 – 75x + 36 by (x + 2)
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Question 31 of 45
31. Question
Factorise x^3 + 10x^2 + 29x + 20
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Question 32 of 45
32. Question
Factorise x^3 + 12x^2 + 41x + 30
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Question 33 of 45
33. Question
Factorise x^3 + 4x^2 – x – 4
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Question 34 of 45
34. Question
Factorise x^3 + 3x^2 – 16x – 48
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Question 35 of 45
35. Question
Factorise 6x^3 – x^2 – 39x – 36
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Question 36 of 45
36. Question
Factorise 2x^3 – 17x^2 + 45x – 36
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Question 37 of 45
37. Question
Factorise x^4 + 7x^3 + 18x^2 + 20x + 8
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Question 38 of 45
38. Question
Factorise x^4 + 12x^3 + 53x^2 + 102x + 72
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Question 39 of 45
39. Question
Factorise x^4 + 10x^3 + 37x^2 + 60x + 36
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Question 40 of 45
40. Question
Factorise x^4 – 3x^3 – 13x^2 + 27x + 36
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Question 41 of 45
41. Question
Factorise x^4 – 10x^2 + 9
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Question 42 of 45
42. Question
Factorise x^4 + 3x^3 – 7x^2 – 27x – 18
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Question 43 of 45
43. Question
Factorise 2x^4 – 17x^3 + 46x^2 – 43x + 12
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Question 44 of 45
44. Question
Factorise 2x^4 – 10x^3 + 10x^2 + 10x – 12
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Question 45 of 45
45. Question
Factorise 2x^4 – 20x^3 + 72x^2 – 112x + 64
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