## Algebra 1

Given the polynomial $20w^{2}$ - 45w + 10 We see that the three terms have a common factor of 5 so we factor out a 5. 5($4w^{2}$ - 9w + 2) *** We break of the middle term into two factors that add to give -9 and multiply to give +8. The two numbers are -1 and -8. 5($4w^{2}$ - 8w - w + 2) We take the GCD of the first two and the GCD of the last two terms. 5(4w(w-2)-1(w-2)) We take (w-2) and factor it out which gives us. 5(w-2)(4w-1)