Question

Obtain all other zeroes of the polynomial x4– 3x3-x2 + 9x – 6, if two of its zeroes are √3 and -√3.

Answer 1

Step-by-step explanation:

(X-alpha)*(X-bita)

(x-√3)(x-(-√3))

(x-√3)(x+√3)

x^2-(√3)^2

x^2-3

x^4-3x^3-x^2+9x-6/x^2-3

=x^2-3x+2

On factorization

x^2-2x-x+2=0

x(x-2)-1(x-2)

(x-1)*(x-2)

x-1=0

x=1

x-2=0

x=2

.Ans...x=1,2

Hope this will really help you ..........