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Show that (x-1) is a factor of x ^(n)-1....

Show that `(x-1)` is a factor of `x ^(n)-1.`

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VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Find the value of K, if 2x-3 Is a factor of 2x^3-9x^2 +x+K.

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  2. Show that (x-1) is a factor of x ^(10) -1 and also of x ^(11) -1.

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  3. Show that (x-1) is a factor of x ^(n)-1.

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  4. Factorise 3x ^(2) + 11 x + 6

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  5. Fractorise the following (i) 6x ^(2) + 19 x + 15

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  6. Factors of 10 m ^(2) - 31m - 132

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  7. Factorise the following. 12x^2+11x+2

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  8. Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^...

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  9. Factorise x ^(3) - 23 x ^(2) + 142 x -120

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  10. Determine which of the following polynomials has (x +1) as a factor. ...

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  11. Determine which of the following polynomials has (x +1) as a factor. ...

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  12. Determine which of the following polynomials has (x +1) as a factor. ...

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  13. Determine which of the following polynomials has (x +1) as a factor. ...

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  14. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

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  15. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

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  16. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

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  17. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

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  18. Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x ...

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  19. Show that (x + 4), (x - 3) and (x-7) are factors of x^3-6x^2 - 19x + 8...

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  20. If both (x-2) and (x - (1)/(2)) are fractors of p x ^(2)+ 5x +r, then...

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