Factor 4w^2-9w-9

Math
4w2-9w-9
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅-9=-36 and whose sum is b=-9.
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Factor -9 out of -9w.
4w2-9(w)-9
Rewrite -9 as 3 plus -12
4w2+(3-12)w-9
Apply the distributive property.
4w2+3w-12w-9
4w2+3w-12w-9
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4w2+3w)-12w-9
Factor out the greatest common factor (GCF) from each group.
w(4w+3)-3(4w+3)
w(4w+3)-3(4w+3)
Factor the polynomial by factoring out the greatest common factor, 4w+3.
(4w+3)(w-3)
Factor 4w^2-9w-9

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