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Find the equation whose roots are ...

Find the equation whose roots are
2 times the roots of ` x^5 -2x^4 +3x^3 -2x^2 +4x +3=0`

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The correct Answer is:
`x^5 -4x^4 +12x^3 -16x^2 +64 x+96=0`
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE -2.3 (VERY SHORT ANSWER QUESTIONS)
  1. Form the polynomial equation whose root are 2 ,1 +- 3i

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  2. Form the polynomial equation whose root are 1,3-sqrt(-2)

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  3. From the polynomial equation whose roots are 1+I,1-I,-1+I,-1-I

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  4. From the polynomial equation whose roots are 3,2,1+I,,1-I

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  5. From the polynomial equation whose roots are 1+I,1-I,1+I,1-I

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  6. Form the polynomial equation whose root are 4+- sqrt(3) ,2 +- i

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  7. Form the polynomial with rational coefficients whose roots are ...

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  8. Form the polynomial with rational coefficients whose roots are ...

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  9. Form the polynomial with rational coefficients whose roots are ...

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  10. Form the polynomial equation with rational coefficients whose roots ar...

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  11. Find the transformed equation whose roots are the negatives of t...

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  12. Find the polynomial equation whose roots are the negatives of th...

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  13. Find the equation whose roots are the reciprocals of the roots ...

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  14. Find the equation whose roots are the reciprocals of the roots ...

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  15. Find the equation whose roots are 3 times the roots of x^3 +2...

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  16. Find the equation whose roots are 3 times the roots of 6x^4 ...

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  17. Find the equation whose roots are 2 times the roots of x^5 -2...

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  18. Find the equation whose roots are the squares of the roots of...

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  19. Find the equation whose roots are the squares of the roots of...

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  20. Find the equation whose roots are the cubes of the roots of x^...

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