Question

If under root 2 is a zero of cubic polynomial 6 x cube minus under root 2 x square minus 10x minus 4under root 2 find its 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.