Question

2x^3-2x^2-x+1

Answer 1

what would you like to do with this?

Answer 2

it says factor by grouping

Answer 3

(x-1) (2 x^2-1)

Answer 4

2x^3-2x^2-x+1
for instance let x=1

plug it in:
2-2-1+1 = 0
this confirms x = 1 is a root therefore (x-1) is a factor
divide (x-1) from the equation
you get
(2x^2-1) as the quotient

in other words
(2x^3-2x^2-x+1) = (x-1)(2x^2 - 1)