Respuesta :

Looking at the expression, we see that the only common factor shared between these three terms is x.

We factor out x:
x(2x2 + 4x - 1)

We can no longer find any common factors, so this is the final answer.

Answer:

[tex]x(2x^2 + 4x -1)[/tex]

Step-by-step explanation:

[tex]2x^3 + 4x^2 -x[/tex]

To get factor form, we find out GCF

LEts write factor for each term

[tex]2x^3= 2 \cdot x \cdot x \cdot x[/tex]

[tex]4x^2=2 \cdot 2 \cdot x \cdot x[/tex]

[tex]-x= -1 \cdot x[/tex]

Common factor is only x

So GCF is x

LEts factor out GCF x

[tex]2x^3 + 4x^2 -x[/tex]

[tex]x(2x^2 + 4x -1)[/tex]

WE cannot factor 2x^2+4x-1 because it is prime