Dividing Polynomials

Divide: $$\left(x^2-3x-12\right)\div\left(x+2\right)$$

What is the remainder to the following polynomial division problem?

$$\left(x^2+6x+12\right)\div\left(x+1\right)$$

Divide: $$\left(2x^3+6x^2+3x-4\right)\div\left(x^2+4x+3\right)$$

Divide: $$\left(2x^3-9x-4\right)\div\left(x^2-3x+2\right)$$

A rectangle has an are of $$30y^2$$ and a width of $$3y$$ . Find the length of the rectangle using the formula: $$\frac{Area}{Width}=Length$$

Divide: $$\frac{64x^2}{4x^3}$$

The two question marks in the problem below represent the same number. What is the number?

$$\frac{8x^5+12x^2-4x}{6x^2}=\frac{4x^?}{3}+2-\frac{2}{?x}$$

The two question marks in the problem below represent the same number. What is the number?

$$\frac{9z^7+15z^5-12z}{3z^3}=3z^?+5z^2-\frac{?}{z^2}$$