Divide (12d^2-20d+3)÷(2d-3)

Math
(12d2-20d+3)÷(2d-3)
Rewrite the division as a fraction.
12d2-20d+32d-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=12⋅3=36 and whose sum is b=-20.
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Factor -20 out of -20d.
12d2-20(d)+32d-3
Rewrite -20 as -2 plus -18
12d2+(-2-18)d+32d-3
Apply the distributive property.
12d2-2d-18d+32d-3
12d2-2d-18d+32d-3
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(12d2-2d)-18d+32d-3
Factor out the greatest common factor (GCF) from each group.
2d(6d-1)-3(6d-1)2d-3
2d(6d-1)-3(6d-1)2d-3
Factor the polynomial by factoring out the greatest common factor, 6d-1.
(6d-1)(2d-3)2d-3
(6d-1)(2d-3)2d-3
Cancel the common factor of 2d-3.
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Cancel the common factor.
(6d-1)(2d-3)2d-3
Divide 6d-1 by 1.
6d-1
6d-1
Divide (12d^2-20d+3)÷(2d-3)

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