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Find the G.C.D of x^(3) - 10x^(2) + 31x ...

Find the G.C.D of `x^(3) - 10x^(2) + 31x - 30` and `2x^(3) - 8x^(2) + 2x + 12`

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FULL MARKS-ALGEBRA-Additional Questions Solved
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  2. Solve: (4t)/(t^2-25)=1/(5-t)

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  3. Find the G.C.D of x^(3) - 10x^(2) + 31x - 30 and 2x^(3) - 8x^(2) + 2x ...

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  4. The G.C.D of x^(4) + 3x^(3) + 5x^(2) + 26x + 56 and x^(4) + 2x^(3) - 4...

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  5. Find the values of "a" and "b" given that p(x) = (x^2 + 3x+2) (x^2 - 4...

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  6. Find the other polynomial g(x), given that LCM, HCF and p(x) as (x - 1...

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  7. Divide (2x^(2) + x-3)/((x-1)^(2)) " by " (2x^(2) + 5x +3)/(x^(2)-1)

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  8. Simplify (x-3)/(x^(2)-x-6) + (2x-1)/(2x^(2) + 5x-3) - (2x +5)/(x^(2) +...

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  9. Find the square root of (6x^(2) + 5x - 6) (6x^(2) - x - 2) (4x^(2) + 8...

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  10. Solve: (5x)/(3x-3)+6/(x+2)=5/3

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  11. If m - nx + 28x^(2) + 12x^(3) + 9x^(4) is aperfect square, then find t...

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  12. If x^2+4x+a is a perfect square, find the value of "a" .

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  13. Solve (1)/(x+1) + (4)/(3x+6) = (2)/(3)

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  14. A two - digit number is such that product of its digits is 14. If ...

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  15. A rectangular field is 16 m long and 10 m wide. There is a path of uni...

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  16. If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0, f...

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  17. If alpha and beta are the roots of the equation 3x^(2) - 6x + 1 = 0 fo...

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  18. Find X and Y if X-Y = [(2,1),(4,3),(0,6)] and X+Y = [(12,13),(6,5),(4,...

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  19. Solve for x, y [(x^(2)),(y^(2))] +3 [(2x),(-3y)] = [(-5),(-18)]

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  20. If A=[3 2 0 1 4 0 0 0 5] , show that A^2-7A+10 I3=O .

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