Factor 8a^2-2a-45

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

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)

Factor the polynomial by factoring out the greatest common factor, 4a+9.

(4a+9)(2a-5)

Factor 8a^2-2a-45