Factor 3c^2+4c+1

Math
3c2+4c+1
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅1=3 and whose sum is b=4.
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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
Factor out the greatest common factor from each group.
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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

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