3c2+4c+1

Factor 4 out of 4c.

3c2+4(c)+1

Rewrite 4 as 1 plus 3

3c2+(1+3)c+1

Apply the distributive property.

3c2+1c+3c+1

Multiply c by 1.

3c2+c+3c+1

3c2+c+3c+1

Group the first two terms and the last two terms.

(3c2+c)+3c+1

Factor out the greatest common factor (GCF) from each group.

c(3c+1)+1(3c+1)

c(3c+1)+1(3c+1)

Factor the polynomial by factoring out the greatest common factor, 3c+1.

(3c+1)(c+1)

Factor 3c^2+4c+1