Home
Class 12
MATHS
Find a polynomial equation of the lowest...

Find a polynomial equation of the lowest degree with rational co - efficient having `sqrt3, (1-2i)` as two of its roots.

Text Solution

Verified by Experts

The correct Answer is:
`x^4-2x^3+2x^2+6x-15=0`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    FULL MARKS|Exercise EXERCISE 3.7|10 Videos
  • SAMPLE PAPER-09 (UNSOLVED)

    FULL MARKS|Exercise PART-IV (IV. Answer all the questions. )|15 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise Additional Question Solved|44 Videos

Similar Questions

Explore conceptually related problems

Find a polynomial equation of minimum degree with rational co - efficients having sqrt3+sqrt7 as a root .

Find a polynomial equation of minimum degree with rational coefficients, having sqrt5 - sqrt3 as a root.

Find a polynomial equation of minimum degree with rational coefficients, having 2 + sqrt3 I as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 2+sqrt3 as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 2-sqrt3 as a root.

Find a polynomial equation of minimum degree with rational coefficients, having 2i+3 as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 3-sqrt5 as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 1 - i as a root.

Let p(x)=0 be a polynomial equation of the least possible degree, with rational coefficients having ""^(3)sqrt7 +""^(3)sqrt49 as one of its roots. Then product of all the roots of p(x)=0 is a. 56 b. 63 c. 7 d. 49