Divide (8a^2-30a-27)/(4a+3)

Math
8a2-30a-274a+3
Factor by grouping.
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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⋅-27=-216 and whose sum is b=-30.
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Factor -30 out of -30a.
8a2-30(a)-274a+3
Rewrite -30 as 6 plus -36
8a2+(6-36)a-274a+3
Apply the distributive property.
8a2+6a-36a-274a+3
8a2+6a-36a-274a+3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(8a2+6a)-36a-274a+3
Factor out the greatest common factor (GCF) from each group.
2a(4a+3)-9(4a+3)4a+3
2a(4a+3)-9(4a+3)4a+3
Factor the polynomial by factoring out the greatest common factor, 4a+3.
(4a+3)(2a-9)4a+3
(4a+3)(2a-9)4a+3
Cancel the common factor of 4a+3.
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Cancel the common factor.
(4a+3)(2a-9)4a+3
Divide 2a-9 by 1.
2a-9
2a-9
Divide (8a^2-30a-27)/(4a+3)

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