## Manipulating polynomials – Hard (AS Level)

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- Question 1 of 25
##### 1. Question

Expand (x+2)(x+1)(x+1)

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##### 2. Question

Expand (x+3)(x+1)(x+2)

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##### 3. Question

Expand (x+1)(x-3)(x+4)

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##### 4. Question

Expand (x+2)(x+4)(x-4)

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##### 5. Question

Expand (3x+1)(x+1)(4x+2)

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##### 6. Question

Expand (3x+2)(4x+2)(2x+2)

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##### 7. Question

Expand (x+1)(x-2)(3x+3)

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##### 8. Question

Expand (x-4)(x+3)(2x-1)

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##### 9. Question

Expand (4x+3)(-x-3)(-x+2)

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##### 10. Question

Expand (-2x+3)(-x-3)(-x-2)

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##### 11. Question

Factorise x^3-3x^2-9x+27 when (x+3) and (x-3) are factors

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##### 12. Question

Factorise x^3+5x^2-2x-24 when (x+3) and (x+4) are factors

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##### 13. Question

Factorise x^3-2x^2-x+2 when (x-2) is a factor

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##### 14. Question

Factorise x^3-3x^2+4 when (x+1) is a factor

CorrectIncorrect - Question 15 of 25
##### 15. Question

Factorise x^3-2x^2-5x+6 when (x^2-4x+3) is a factor

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##### 16. Question

Factorise x^3+5x^2[latex]-2x-24 when [latex](x^2+x-6) is a factor

CorrectIncorrect - Question 17 of 25
##### 17. Question

Factorise 3x^3+2x^2-27x-18 when (x-3) and (x+3) are factors

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##### 18. Question

Factorise 2x^3+3x^2-1 when (x+1) and (2x-1) are factors

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##### 19. Question

Factorise 18x^3-27x^2+13x-2 when (2x-1) and (3x-2) are factors

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##### 20. Question

Factorise 18x^3+9x^2-36x-27 when (3x+3) is a factor

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##### 21. Question

Factorise 18x^3-60x^2+66x-24 when (3x-3) is a factor

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##### 22. Question

Factorise 4x^3-4x^2-20x-12 when (x+1) is a factor

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##### 23. Question

Factorise 2x^3-11x^2+17x-6 when (x^2-5x+6) is a factor

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##### 24. Question

Factorise 6x^3+6x^2-6x-6 when (6x^2-6) is a factor

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##### 25. Question

Factorise 36x^3-45x^2-7x+4 when (9x^2-9x-4) is a factor

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