Use the factor theorem tio determine whether (x-1) is a factor of f(x) `=2sqrt2x^(3)+5sqrt2x^(2)-7sqrt2`

Explanation

By using factor theorem,(x-1) is a factor of f(x), only when f(1) = 0
`f(1)=2sqrt2(1)^(3)+5sqrt2(1)^(2)-7sqrt2=2sqrt2+5sqrt2-7sqrt2=0`
`" Hence",(x-1)` is a factor of f(x).