Question

obtain all other zeros of 3x^4+6x^3-2x^2-10x-5if two of its zeros are√3/5and-√5/3

Answer 1

We know in an equation with rational coefficients ,irrational roots occur in conjugate pairs.

If √3/5 be a root of the given equation then -√3/5 also be the root of the equation.

Similarly √5/3 be a root of the equation.

So, zero of the equation be

√3/5,-√3/5,-√5/3,√5/3.