Question

What is the factored form of 2x3 + 4x2 – x?

Answer 1

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 2

`x(2x^2 + 4x -1)`

Explanation:

`2x^3 + 4x^2 -x`

To get factor form, we find out GCF

LEts write factor for each term

`2x^3= 2 \cdot x \cdot x \cdot x`

`4x^2=2 \cdot 2 \cdot x \cdot x`

`-x= -1 \cdot x`

Common factor is only x

So GCF is x

LEts factor out GCF x

`2x^3 + 4x^2 -x`

`x(2x^2 + 4x -1)`

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