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Factor of x^(2)-x^(26)-x^(23) +1...

Factor of `x^(2)-x^(26)-x^(23) +1`

A

`(x-1)` but not `(x+1)`

B

`(x+1)` but not `(x-1)`

C

both `(x+1) and (x-1)`

D

Neither `(x+1)` nor `(x-1)`

Text Solution

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The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-ALGEBRA THEORY-Example
  1. If a^(4) + a^(2) b^(2) +b^(4)=8, a^(2) + b^(2) + ab= 4 find ab

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  2. If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy

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  3. Factor of x^(2)-x^(26)-x^(23) +1

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  4. If (x-2) is a factor of polynomial x^(2) + kx+4. Find the value of k

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  5. If x^(3) +ax^(2) + 2x+3 is exactly divisible by (x+1). Find the value ...

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  6. If (x+1) and (x-1) are factor of ax^(3) + bx^(2) + 3x+5. Find the valu...

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  7. Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)

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  8. (x^(2)-7x+15)/(x-3), find remainder

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  9. If x^(2)+x+4 is divided by (x-1), find the remainder

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  10. If x^(11) +3 is divided by (x+1), find the remainder

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  11. If x^(51) +51 is divided by x+1 , then the remainder is

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  12. If x^(40)+3 is dividied by x^(4)+1, find the remainder

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  13. x^(35) +3 is divided by x^(5)+1, find remainder

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  14. If x^(2) + bx + 7 is divided by (x-1) leaves remainder 12 find b?

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  15. If 2x^(2) +kx + 8 is divided by (x+2) leaves remainder 3k find k =?

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  16. x^(2) + 4x + k is divided by (x-2) leaves remainder 2x, find k

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  17. Find the HCF of the polynomial 30(x^(2)-3x+2) and 50 (x^(2)-2x +1)

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  18. Find the HCF of f(x)=33 (2x + 3)^(2) (3x-4)^(3) (4x-5)^(4) and g(x)= 2...

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  19. Find the HCF of the polynomials f(x)= 6(x^(3) +3x^(2)) (x^(2)-16) (x^(...

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  20. Find the LCM of the polynomials f(x)= 4(x-1)^(2) (x+1)^(2) (x^(2) + ...

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