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Find the polynomial equation whose roots...

Find the polynomial equation whose roots are the squares of the roots of `x^4+x^3+2x^2+x+1=0`

A

`x^4 -3x^3 + 4x^2 + 3x +1=0`

B

`x^4 +3x^3+4x^2 +3x +1=0`

C

`x^4-3x^3 -4x^2 + 3x +1=0`

D

`x^4-3x^3 -4x^2 -3x +1=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

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  2. The equation whose roots exceed by 2 than the roots of 4x^4 ...

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  3. Find the polynomial equation whose roots are the squares of the roots ...

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  4. Form the polynomial equation whose roots are cubes of the roots of x^...

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  5. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

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  6. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

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  7. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

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  8. If alpha , beta , gamma are the roots of the equation x^3 +px...

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  9. Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1...

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  10. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

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  11. The transformed equation x^3 -5/2 x^2 -(7)/(18 ) x+(1)/( 108 )...

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  12. The transformed equation with integer co-effcients whose roots ...

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  13. If the equation whose roots are p times the roots of x^4 +2x^...

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  14. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

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  15. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  16. Assertion (A) : if x^4 -x^3 -6x^2 +4x +8=0 has a multiple root ...

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  17. Assertion (A) : If alpha , beta, gamma are the roots of x^3 -x-...

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  18. Assertion (A ) : the number of roots of x^4 +2x^3 -7x^2 -8x +12=...

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  19. Assertion (A ) : the roots x^4 -5x^2 +6=0 are +- sqrt(2) ,+-sqrt...

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  20. For k gt 0 if k sqrt(-1) is a root of the equation x^4 + 6x^...

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