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If (x^(2)+r) be a factor of the polynomi...

If `(x^(2)+r)` be a factor of the polynomial `f(x)=x^(3)-rx^(2)+rx-r^(2)`, then the other factor is

A

`x^(2)-r`

B

x - r

C

x + r

D

`x-r^(2)`

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.4
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  2. If (x+sqrt11) be a factor of f(x)=x^(3)+k, then k =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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