Question

create your own polynomial with a degree of 3 that when divided by x+2 has a remainder of -4

Answer 1

start with
\[(x+2)(\text{any polynomial})-4\] fill in anything there

Answer 2

(x^2+8x+20)/(x+4) @satellite73

Answer 3

you are just asked for a polynomial, not a rational function

Answer 4

take \((x+4)\) multiply it by anything, say \(x-1\) and then subtract \(4\) from the result
in that example you would get
\[(x+4)(x-1)-4\] or whatever you get when you multiply it out

Answer 5

They are asking for a third degree polynomial.
So choose a quadratic expression:
(x + 2) * (any quadratic expression) - 4.
Multiply it out and simplify.