Home
Class 12
MATHS
Find the polynomial equation of degree 4...

Find the polynomial equation of degree 4 whose roots are the negatives of the roots of `x^4-6x^3+7x^2-2x+1=0 `

Text Solution

Verified by Experts

The correct Answer is:
`therefore x^4+6x^3+7x^2+2x+1=0`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(a)|23 Videos
  • THEORY OF EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -4(b)|24 Videos
  • SYSTEM OF CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERXCISE - 2(b)|23 Videos

Similar Questions

Explore conceptually related problems

Form the polynomial equation of degree 3 whose roots are 2,3 and 6.

Find the polynomial equation whose roots are the reciprocals of the roots of x^4-3x^3+7x^2+5x-2=0

Find the polynomial equation whose roots are the reciprocals of the roots of x^4-3x^3+7x^2+5x-2=0

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

Find the polynomial equation whose roots are the squares of the roots of x^3-x^2+8x-6=0

Find the algebraic equation of degree 5 whose roots are the translates of the roots of x^5+4x^3-x^2+11=0 by -3.

The polynomial equation of degree 5 whose roots are the translates of the roots of x ^(5) - 2x ^(4) + 3x ^(3) -4x ^(2) + 5x -6=0 by -2 is

Find the algebraic equation of degree 4 whose roots are the translates of the roots 4x^4+32x^3+83x^2+76x+21=0 by 2.

Find the transformed equation whose roots are the negative of the roots of x^4+5x^3+11x+3=0