Question

Obtain all other zeroes of the polynomial x

4 - 3√2 x3+ 3√2 x -4 if two of its zeroes are √2 and

2√2.​

Answer 1

Step-by-step explanation:

Solution :- given

⇒P(x)=x4−32x3+3x2+32x−4=0

as Two zero is given 2,22

∴(x−2)(x−22)=x2−32x+4

Now considering a standard quadratic equation

ax2+bx+c=0

We can say

(x2−32x+4)(ax2+bx+c)=p(x)

⇒ax4−3a2x3+4ax2+bx3−3b2x2+4bx+cx2−3c2x+4c=p(x)

⇒ax4