Factor 2z^2-9z-35

Math
2z2-9z-35
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅-35=-70 and whose sum is b=-9.
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Factor -9 out of -9z.
2z2-9(z)-35
Rewrite -9 as 5 plus -14
2z2+(5-14)z-35
Apply the distributive property.
2z2+5z-14z-35
2z2+5z-14z-35
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(2z2+5z)-14z-35
Factor out the greatest common factor (GCF) from each group.
z(2z+5)-7(2z+5)
z(2z+5)-7(2z+5)
Factor the polynomial by factoring out the greatest common factor, 2z+5.
(2z+5)(z-7)
Factor 2z^2-9z-35

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