Home
Class 12
MATHS
The equation of lowest degree with r...

The equation of lowest degree with rational coefficient having a root ` sqrt(3) + sqrt(2)` is

A

`x^4 +2x^2 -25 =0`

B

`x^4-2x^2 +25=0`

C

`x^4 +10 x^2 +1=0`

D

`x^4 +2x^2 +25 =0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

The equation of the smallest degree in the real coefficients having 1-i as one of its roots is

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

Write the equation off lowest degree with real coefficients if two of its roots are -1 annd 1+i.

Form the polynomial with rational coefficients whose roots are i+- sqrt(5)

The quadratic equation with rational coefficients whose one root is 3+sqrt2 is

Form the polynomial equation with rational coefficients whose roots are -sqrt(3)+-isqrt(2)

Find the polynomial with rational coefficients and whose roots are 1 +- sqrt(3),2,5

If f(x) is a polynomial of degree n with rational coefficients and 1 +2 i ,2 - sqrt(3) and 5 are roots of f(x) =0 then the least value of n is

If f(x) is a polynomial of degree 4 with rational coefficients and touches x - axis at (sqrt(2) , 0 ) , then for the equation f(x) = 0 ,