Factor 3z^2+28z-20

Math
3z2+28z-20
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⋅-20=-60 and whose sum is b=28.
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Factor 28 out of 28z.
3z2+28(z)-20
Rewrite 28 as -2 plus 30
3z2+(-2+30)z-20
Apply the distributive property.
3z2-2z+30z-20
3z2-2z+30z-20
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(3z2-2z)+30z-20
Factor out the greatest common factor (GCF) from each group.
z(3z-2)+10(3z-2)
z(3z-2)+10(3z-2)
Factor the polynomial by factoring out the greatest common factor, 3z-2.
(3z-2)(z+10)
Factor 3z^2+28z-20

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