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Find the HCF of x^(3) + x^(2) + x + 1 an...

Find the HCF of `x^(3) + x^(2) + x + 1` and `x^(4) - 1`.

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FULL MARKS-ALGEBRA-Additional Questions Solved
  1. Solve x + y = 7 , y + z = 4 , z + x = 1

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  2. Find the HCF of 25x^(4)y^(7) , 35x^(3)y^(8) , 45x^(3)y^(3)

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  3. Find the HCF of x^(3) + x^(2) + x + 1 and x^(4) - 1.

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  4. Find the LCM of x^(3) + y^(3) , x^(3) - y^(3),x^4+x^2y^2+y^4

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  5. Find the L.C.M of x^(3) + x^(2) - x - 1 and x^(3) + 3x^(2) - x - 3

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  6. For What value of k, the G.C.D of [x^(2) + x - (2k + 2)] and 2x^(2) + ...

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  7. Simplify (x^(2) + x-6)/(x^(2) + 4x +3)

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  8. Multiply (a^(3) b^(2))/(a-1) " by " (a^(2)-1)/(a^(2)b^(3))

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  9. If P = (x^(2) -36)/(x^(2) -49) and Q= (x+6)/(x+7) find the value of (P...

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  10. Simplify (x^2)/(x+y) -(y^2)/(y+x)

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  11. Find the square root (x + 11)^(2) - 44x

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  12. Find the square root of x^(4) + (1)/(x^(4)) +2

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  13. Solve the equation 2x-1 -(2)/(x-2) =3

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  14. Find the roots of sqrt2 x^(2) + 7x + 5 sqrt2 = 0

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  15. Solve sqrt(x +5) = 2x +3 using formula method.

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  16. The sum of a number and its reciprocal is (37)/(6). Find the number.

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  17. Determine the nature of the roots of the equation 2x^(2) + x - 1 = 0

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  18. Find the value of k for which the given equation 9x^(2) + 3kx + 4 = 0 ...

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  19. If one root of the equation 3x^(2)-10x+3=0" is "(1)/(3) then the other...

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  20. Form the quadratic equation whose roots are 3 + sqrt7, 3- sqrt7

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