Factor by grouping 6v^3-14v^2+15v-35

(3v-7) (2v^2+5)

Step-by-step explanation:

To factor 6v^3-14v^2+15v-35 by grouping we are going to try pair to up the pair two terms and also the last two terms. Like this:

(6v^3-14v^2) + (15v-35)

Now from each we factor what we can:

2v^2 (3v-7) + 5 (3v-7)

Now there are two terms: 2v^2 (3v-7) and 5 (3v-7).

These terms contain a common factor and it is (3v-7).

We are going to factor (3v-7) out like so:

2v^2 (3v-7) + 5 (3v-7)

(3v-7) (2v^2+5)