Question

given that root 2 is a zero of the polynomial 6x cube + root 2x square - 10x- 4. root 2 find the other two zeroes

Answer 1

p(x) = 6x cube + root 2x square - 10 x - 4 root 2
As, root 2 is a factor of p(x).
Then, x-root 2 is a factor of p(x).
If we divide p(x) by x minus root 2, then we get quotient q(x) as 6 x square + 7 root 2 X + 4.
If we have to factorise q(x) , we will get the other two zeros.

Answer 2

this is your correct answer