Question

Answer for this question

Answer 1

-31x is the answer to the problem

Answer 2

Grouping,
looking at the coefficients (2,-7,-4, and 14)
you notice that 2,-4, and 14 are all factors of 2,
however you also notice that -7 and 14 arefactors of 7, so you want to group the terms containing -7 and 14 up (and 2 and -4 together)

so rearranging stuff
2x^3 -4x -7x^2+14

grouping
(2x^3-4x) + (-7x^2+14)

factoring stuff, (reverse distribution process)
notice you can factor out a 2x from the first group, and a -7 from the 2nd group, hence you will get

2x(x^2-2) -7(x^2-2)

you can factor out the (x^2-2) from both terms, hence you are left with

(2x-7)(x^2-2)