Dividing Polynomials

What number do we place in the equation when a term is missing for long division

$$x^2+13x+40\div x+8$$

$$x^2-625\div x+25$$

What is step 2 in this long division problem? $$x^2+18x+80\div x-4$$

$$x^2-196\div x-14$$

Which method would be the fastest way to solve this problem?

$$m^2+14m+45\div m-6$$

Using synthetic division what is the constant term?

$$a^2+15a+44\div a+?$$

Which 1 is a possible factor?

How do you know you have a remainder in long division