## Algebra 1

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)