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

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

Thanks Chris, yes, that is another good way :)