Question

odtain all the zeros of the polynomial x^4-3√2x^3+3x^2+3√2x-4 if two of its zeroes are √2 and 2√2​

Answer 1

Answer:

Answer

One root x=1 and x=-1 can be found by hit and trial .

So f(x) =(x

2

−1)(x

2

−3

2

x+4)=(x

2

−1)(x−2

2

)(x−

2

)

Thus other two roots are x=2

2

,

2