(12d2-20d+3)÷(2d-3)

Rewrite the division as a fraction.

12d2-20d+32d-3

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.

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.

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.

(6d-1)(2d-3)2d-3

Divide 6d-1 by 1.

6d-1

6d-1

Divide (12d^2-20d+3)÷(2d-3)