Factor 3s^2+8s-3

Math
3s2+8s-3
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⋅-3=-9 and whose sum is b=8.
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Factor 8 out of 8s.
3s2+8(s)-3
Rewrite 8 as -1 plus 9
3s2+(-1+9)s-3
Apply the distributive property.
3s2-1s+9s-3
3s2-1s+9s-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3s2-1s)+9s-3
Factor out the greatest common factor (GCF) from each group.
s(3s-1)+3(3s-1)
s(3s-1)+3(3s-1)
Factor the polynomial by factoring out the greatest common factor, 3s-1.
(3s-1)(s+3)
Factor 3s^2+8s-3

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