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Find the remainder when x^(3) - ax^(2) +...

Find the remainder when `x^(3) - ax^(2) + 8x -a` is divided by x-a.

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The correct Answer is:
7a
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KUMAR PRAKASHAN-POLYNOMIALS-Skill Testing Exercise
  1. With the help of the remainder theorem, find the remainder when the po...

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  2. If x +2 is a factor of x^(3) + ax^(2) + 11 x + 6, find the value of a.

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  3. Find the remainder when x^(3) - ax^(2) + 8x -a is divided by x-a.

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  4. Check whether 5x +1 is a factor of 5x^(3) + 26x^(2) + 35x + 6 or not.

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  5. Check whether x-1 is a factor of x^(3) + 6x^(2) - 2x -5 or not.

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  6. Check whether x=1 is a factor of x^(3) + 9x^(2) - 4x -12 or not.

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  7. Check whether x + 3 is a factor of x^(3) + 2x^(2) - 5x -6 or not.

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  8. Check whether x-4 is a factor of x^(3) - 3x^(2) - 6x + 8 or not.

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  9. If x-1 is a factor of 4x^(3) + 3x^(2) - 4x + k, find the value of k.

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  10. If 2x-1 is a factor of 4x^(3) - 16x^(2) + 10x + k, find the value of k...

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  11. Check whether 2t + 1 is a factor of 4t^(3) + 4t^(2) - t - 1 or not.

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  12. If x-4 is a factor of x^(3) - 5x^(2) - px + 24, find the value of p.

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  13. If x-3 is a factor of k^(2)x^(3) - kx^(2) + 3kx - k, find the value of...

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  14. Without performing the long division, show that 3x^(4) + 4x^(3) - 12 x...

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  15. Factorise : 10x^(2) + 7x +1

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  16. Factorise : 5x^(2) - 18x -8

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  17. Factorise : 6x^(2) + 13x + 6

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  18. Factorise : 12x^(2) + x -6

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  19. Factorise : 2x^(2) - 9x - 35

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  20. Factorise : x^(3) + 8x^(2) + 19x + 12

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