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If n be an odd negative integer, then pr...

If n be an odd negative integer, then prove that (x + 1) is a polynomial of degree `(x^(n)+1)`.

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.4
  1. If (x + 1) be a factor of the polynomial (x^(43)+kx+2), determine the ...

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

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

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

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

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

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

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

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

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

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

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

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  13. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

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  14. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

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  15. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

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  16. Using factor theorem, examine whether g(x) is a factor of f(x) of the ...

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  17. Determine the value of k for which g(x) is a factor of f(x) of the fol...

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  18. Determine the value of k for which g(x) is a factor of f(x) of the fol...

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  19. Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)...

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  20. Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)...

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