# Factor 4s^3+12s^2+5s

4s3+12s2+5s
Factor s out of 4s3+12s2+5s.
Factor s out of 4s3.
s(4s2)+12s2+5s
Factor s out of 12s2.
s(4s2)+s(12s)+5s
Factor s out of 5s.
s(4s2)+s(12s)+s⋅5
Factor s out of s(4s2)+s(12s).
s(4s2+12s)+s⋅5
Factor s out of s(4s2+12s)+s⋅5.
s(4s2+12s+5)
s(4s2+12s+5)
Factor.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅5=20 and whose sum is b=12.
Factor 12 out of 12s.
s(4s2+12(s)+5)
Rewrite 12 as 2 plus 10
s(4s2+(2+10)s+5)
Apply the distributive property.
s(4s2+2s+10s+5)
s(4s2+2s+10s+5)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
s((4s2+2s)+10s+5)
Factor out the greatest common factor (GCF) from each group.
s(2s(2s+1)+5(2s+1))
s(2s(2s+1)+5(2s+1))
Factor the polynomial by factoring out the greatest common factor, 2s+1.
s((2s+1)(2s+5))
s((2s+1)(2s+5))
Remove unnecessary parentheses.
s(2s+1)(2s+5)
s(2s+1)(2s+5)
Factor 4s^3+12s^2+5s

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