Factor 3s^2+7s+4

Math
3s2+7s+4
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⋅4=12 and whose sum is b=7.
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Factor 7 out of 7s.
3s2+7(s)+4
Rewrite 7 as 3 plus 4
3s2+(3+4)s+4
Apply the distributive property.
3s2+3s+4s+4
3s2+3s+4s+4
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3s2+3s)+4s+4
Factor out the greatest common factor (GCF) from each group.
3s(s+1)+4(s+1)
3s(s+1)+4(s+1)
Factor the polynomial by factoring out the greatest common factor, s+1.
(s+1)(3s+4)
Factor 3s^2+7s+4

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