Factor 3z^2+4z+1

Math
3z2+4z+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 4z.
3z2+4(z)+1
Rewrite 4 as 1 plus 3
3z2+(1+3)z+1
Apply the distributive property.
3z2+1z+3z+1
Multiply z by 1.
3z2+z+3z+1
3z2+z+3z+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3z2+z)+3z+1
Factor out the greatest common factor (GCF) from each group.
z(3z+1)+1(3z+1)
z(3z+1)+1(3z+1)
Factor the polynomial by factoring out the greatest common factor, 3z+1.
(3z+1)(z+1)
Factor 3z^2+4z+1

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