36. Open-Ended Write a polynomial division that has a quotient of x + 3 and a remainder of 2. Whats the best way to do this?

Open-Ended Write a polynomial division that has a quotient of x + 3 and a remainder of 2.

\([(x+3)(x+5)+2] \div(x+5)=x+3\;\;Remainder\;2\)

You can expand the dividend polynomial if you want.

Here's another way using the Remainder Theorem

(-3)^2  + 3(-3) + 2   =  2

So....our polynomial is

x^2 + 3x  + 2