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If (x+sqrt11) be a factor of f(x)=x^(3)+...

If `(x+sqrt11)` be a factor of `f(x)=x^(3)+k`, then k =

A

-11

B

`11sqrt11`

C

`-11sqrt11`

D

11

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.4
  1. (x + a) will be a factor of the polynomial p(x)=x^(n)+a^(n), when-

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  2. If x be a factor of the polynomial f(x) = (x - a) (x + b) (x - c), the...

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  3. If (x+sqrt11) be a factor of f(x)=x^(3)+k, then k =

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  4. If (x^(2)+r) be a factor of the polynomial f(x)=x^(3)-rx^(2)+rx-r^(2),...

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  5. If f(x)=2x^(3)+9x^(2)+x+k and g(x) = x -1 be two polynomials, then g(x...

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  6. Which one of the followings is a factor of the polynomial p(x)=x^(4)-1...

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  7. Find the value of a if (1 - 2x) is a factor of the polynomial (2x^(4)-...

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  8. Find the value of k if (x - 2) is a factor of the polynomial (2x^(5)-6...

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  9. If (x + 1) be a factor of the polynomial (x^(43)+kx+2), determine the ...

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  10. If (x + 1) be a factor of the polynomial (x^(200)+2x^(201)+k), then de...

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  11. If n be an odd negative integer, then prove that (x + 1) is a polynomi...

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  12. Prove that the polynomial (x^(5)-y^(5)) is not divisible be (x + y).

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  13. Is the polynomial (x^(101)+1) divisible by (x + 1) ? Give reasons in f...

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  14. Examine whether (x + y) is a factor of the polynomial (x^(11)+y^(11)) ...

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  15. If (x + 2y) be a factor of the polynomial (x^(2)+4xy+4y^(2)), find the...

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  16. If (x-sqrt11) be a factor of the polynomial of f(x), but not a factor ...

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  17. Determine whether (x + 1) is a factor of the follwing polynomials or n...

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  18. Determine whether (x + 1) is a factor of the follwing polynomials or n...

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  19. Determine whether (x + 1) is a factor of the follwing polynomials or n...

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  20. Determine whether (x + 1) is a factor of the follwing polynomials or n...

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