# 20w2+100w+40 how can i write this out in word to example how I got my answer of 20(w2+5w+2)

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Expert Answers

sciencesolve | Certified Educator

You need to factor the given trinomial, using a common factor, hence, you should decompose each coefficient in prime factors, such that:

`20 = 1*2^2*5`

`100 = 1*2^2*5^2`

`40 = 1*2^3*5`

You may notice that the greatest common factor `(GCF)` of these coefficient is `2^2*5 = 20.`

Hence, you can factor out 20, such that:

`20w^2 + 100w + 40 = 20(w^2 + 5w + 2)`

**Hence, describing the steps you need to perform to reach to the answer `20(w^2 + 5w + 2)` yields: find the `GCF = 20` of coefficients 20,100,40 and then factor out the `GCF = 20` .**