Answer:
(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)