Question

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

Answer 1

Given polynomial is -

p(x) = 6x3 +  √2x2  - 10x - 4 √2

since x = √2 is a zero of p(x)  

⇒ (x - √2) will be a factor of  p(x)