Answer:
[tex] \boxed{ \tt{b.}}[/tex]
Step-by-step explanation:
[tex] {2x}^{4} + {2x}^{3} - {x}^{2} - x \\ x({2x}^{3} + {2x}^{2} - x - 1) \\ x({2x}^{2} (x + 1) - 1(x + 1)) \\ {2x}^{3} (x + 1) - x(x + 1) \\ ({2x}^{3} - x)(x + 1)\\ x({2x}^{2} - 1)(x + 1)[/tex]
