2x^4 - 7x^3 - 2x^2 + 13 x + 6

The given expression is 2x^4 - 7x^3 - 2x^2 + 13x + 6.

To factor this expression, we can look for common factors among the terms. In this case, there are no common factors.

Next, we can try to factor by grouping. We group the terms as follows:

(2x^4 - 7x^3) + (-2x^2 + 13x + 6)

Now, we can factor out the greatest common factor from each group:

x^3(2x - 7) - 1(2x^2 - 13x - 6)

Now, we have two separate binomials that can be factored individually.

The first binomial, 2x - 7, cannot be factored further.

The second binomial, 2x^2 - 13x - 6, can be factored as follows:

(2x + 1)(x - 6)

Therefore, the factored form of the expression 2x^4 - 7x^3 - 2x^2 + 13x + 6 is:

x^3(2x - 7) - (2x + 1)(x - 6)