Answer
2(v+5)(4v-3)
Work Step by Step
Given the polynomial
$8v^{2}$ + 34v - 30
We see that the three terms have a common factor of 2 so we factor out a 2.
2($4v^{2}$ + 17v - 15)
*** We break of the middle term into two factors that add to give +17 and multiply to give -60. The two numbers are +20 and -3.
2($4v^{2}$ + 20v - 3v - 15)
We take the GCD of the first two and the GCD of the last two terms.
2(4v(v+5)-3(v+5))
We take (v+5) and factor it out which gives us.
2(v+5)(4v-3)
