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HCF of x^3 - 1 and x^4 + x^2 + 1 will be...

HCF of `x^3 - 1` and `x^4 + x^2 + 1` will be

A

`(x - 1)`

B

`x^2 + x + 1`

C

`x^2 - x + 1`

D

`x^2 - x - 1`

Text Solution

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The correct Answer is:
B
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S CHAND IIT JEE FOUNDATION-HCF AND LCM OF POLYNOMIALS AND RATIONAL EXPRESSIONS-Question Bank
  1. HCF of the polynomials 20x^2 y(x^2 - y^2) and 35xy^2 (x - y) is

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  2. HCF of x^3 - 1 and x^4 + x^2 + 1 will be

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  3. The HCF of the polynomials x^3 - 3x^2 + x - 3 and x^3 - x^2 - 9x + 9 i...

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  4. The LCM of xy+yz+zx+y^2 and x^2+xy+yz+zx

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  5. The LCM of x^2 - 10x + 16, x^2 - 9x + 14 and x^2 - 10x + 21 is

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  6. The LCM of 6(x^2 + xy), 8(xy - y^2), 12 (x^2 -y^2) and 20(x + y)^2 is:

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  7. The HCF of {x^4 - y^4) and (x^6 - y^6) is

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  8. The LCM of the polynomials x^3 +3x^2 +3x + 1, x^2 +2x+1 and x^2 -1 is ...

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  9. The product of two expression is x^3 + x^2 - 44x - 84. If the HCF of t...

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  10. The HCF of x^4 -11x^2 +10, x^2 – 5x+4 and x^3 – 3x^2 + 3x-1 is

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  11. The HCF of two polynomials 4x^2(x^2 – 3x+2) and 12x(x-2)(x^2 - 4) is 4...

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  12. The rational expression (8x^3 - 125)/(4x^2 +10x+ 25) in its simplest f...

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  13. sqrt(((x^2 + 3x + 2)(x^2 + 5x + 6))/(x^2 (x^2 + 4x+ 3))) is equal to :

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  14. If A = (2x + 1)/(2x - 1) and B = (2x - 1)/(2x + 1) then A - B is equa...

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  15. 1/(x + 1) - 1/(x - 1) - (x^2)/(x + 1) + (x^2)/(x -1), when simplified ...

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  16. The product of the rational expressions (x^2 - y^2)/(x^2 + 2xy + y^2) ...

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  17. ((2x + y)/(x + y) - 1) div (1 - y/(x + y)) is equal to :

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  18. (x^3 + y^3 + z^3 - 3xyz)/(a^3 + b^3 + c^3 - 3abc) xx (a^2 + b^2 + c^2 ...

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  19. What should be added to a/(a - b) + b/(a + b) to get 1?

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  20. Simplify : [1/(1 + a) + (2a)/(1 - a^2)] xx ((a^2 + 4a - 5)/(a^2 + 10a ...

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