Answer
5(w-2)(4w-1)
Work Step by Step
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)
