Question

I understand that the remainder is 0, I kinda guessed and it told me.
But we're using long division or synthetic division.
Can you explain to me what the quotient is?
Thanks!

Answer 1

You need to add the x^4, x^3, x^2, and x term in there so you can have place holders to do the rest of the problem


You will have something like:
$\frac{x^{5} + 0x^{4}+ 0x^3+0x^2+0x-32}{x - 2}$

Then you start the long division process

When you get done you will have $x^4 + 2x^3 + 4x^2 + 8x + 16$
with a remainder of 0