Manipulating polynomials – Hard (AS Level)
For the teaching video to learn this skill and see lots of worked examples, watch the video over on YouTube.
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Question 1 of 25
1. Question
Expand (x+2)(x+1)(x+1)
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Question 2 of 25
2. Question
Expand (x+3)(x+1)(x+2)
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Question 3 of 25
3. Question
Expand (x+1)(x3)(x+4)
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Question 4 of 25
4. Question
Expand (x+2)(x+4)(x4)
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Question 5 of 25
5. Question
Expand (3x+1)(x+1)(4x+2)
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Question 6 of 25
6. Question
Expand (3x+2)(4x+2)(2x+2)
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Question 7 of 25
7. Question
Expand (x+1)(x2)(3x+3)
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Question 8 of 25
8. Question
Expand (x4)(x+3)(2x1)
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Question 9 of 25
9. Question
Expand (4x+3)(x3)(x+2)
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Question 10 of 25
10. Question
Expand (2x+3)(x3)(x2)
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Question 11 of 25
11. Question
Factorise x^33x^29x+27 when (x+3) and (x3) are factors
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Question 12 of 25
12. Question
Factorise x^3+5x^22x24 when (x+3) and (x+4) are factors
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Question 13 of 25
13. Question
Factorise x^32x^2x+2 when (x2) is a factor
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Question 14 of 25
14. Question
Factorise x^33x^2+4 when (x+1) is a factor
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Question 15 of 25
15. Question
Factorise x^32x^25x+6 when (x^24x+3) is a factor
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Question 16 of 25
16. Question
Factorise x^3+5x^2[latex]2x24 when [latex](x^2+x6) is a factor
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Question 17 of 25
17. Question
Factorise 3x^3+2x^227x18 when (x3) and (x+3) are factors
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Question 18 of 25
18. Question
Factorise 2x^3+3x^21 when (x+1) and (2x1) are factors
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Question 19 of 25
19. Question
Factorise 18x^327x^2+13x2 when (2x1) and (3x2) are factors
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Question 20 of 25
20. Question
Factorise 18x^3+9x^236x27 when (3x+3) is a factor
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Question 21 of 25
21. Question
Factorise 18x^360x^2+66x24 when (3x3) is a factor
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Question 22 of 25
22. Question
Factorise 4x^34x^220x12 when (x+1) is a factor
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Question 23 of 25
23. Question
Factorise 2x^311x^2+17x6 when (x^25x+6) is a factor
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Question 24 of 25
24. Question
Factorise 6x^3+6x^26x6 when (6x^26) is a factor
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Question 25 of 25
25. Question
Factorise 36x^345x^27x+4 when (9x^29x4) is a factor
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