Divide 12x^3+7x^2+9x+2÷4x+1

$12 x^{3} + 7 x^{2} + 9 x + 2 \div 4 x + 1$

Step 1

Rewrite the division as a fraction.

$12 x^{3} + 7 x^{2} + 9 x + \frac{2}{4 x} + 1$

Step 2

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$12 x^{3} + 7 x^{2} + 9 x + \frac{2 (1)}{4 x} + 1$

Cancel the common factors.

Factor $2$ out of $4 x$ .

$12 x^{3} + 7 x^{2} + 9 x + \frac{2 (1)}{2 (2 x)} + 1$

Cancel the common factor.

$12 x^{3} + 7 x^{2} + 9 x + \frac{2 \cdot 1}{2 (2 x)} + 1$

Rewrite the expression.

$12 x^{3} + 7 x^{2} + 9 x + \frac{1}{2 x} + 1$