Factor 8a^2-2a-45

Math
8a2-2a-45
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=8⋅-45=-360 and whose sum is b=-2.
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Factor -2 out of -2a.
8a2-2(a)-45
Rewrite -2 as 18 plus -20
8a2+(18-20)a-45
Apply the distributive property.
8a2+18a-20a-45
8a2+18a-20a-45
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(8a2+18a)-20a-45
Factor out the greatest common factor (GCF) from each group.
2a(4a+9)-5(4a+9)
2a(4a+9)-5(4a+9)
Factor the polynomial by factoring out the greatest common factor, 4a+9.
(4a+9)(2a-5)
Factor 8a^2-2a-45

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