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Examine whether (x + y) is a factor of t...

Examine whether (x + y) is a factor of the polynomial `(x^(11)+y^(11))` or not.

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If n be any positive integer (even or odd), prove that (x - y) is a factor of the polynomial x^(n)-y^(n) .

Using factor theorem, examine whether g(x) is a factor of f(x) of the following polynomials or not : f(x)=2x^(3)+10x^(2)-7x-456andg(x)=x-5 .

Using factor theorem, examine whether g(x) is a factor of f(x) of the following polynomials or not : f(x)=4x^(3)+x^(2)-20x-7andg(x)=3x+2

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.4
  1. Prove that the polynomial (x^(5)-y^(5)) is not divisible be (x + y).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If (x^(2)-2) be a factor of the polynomial (ax^(3)-bx^(2)-4), find the...

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  19. If m, n be natural numbers and (x^(2)-n) be a factor of the polynomial...

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  20. If (x - 1) and (x - 3) be two factors of the polynomial (x^(3)-3x^(2)+...

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