Factor 3s^2+7s+4 - Math App

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

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)

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

(s+1)(3s+4)

Factor 3s^2+7s+4