Question

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

Answer 1

start by taking any polynomial of degree 2 that you like, say \(x^2+x+1\) then multiply it by \(x+2\) then subtract 4 from the result

Answer 2

you will get
\[(x+2)(x^2+x+1)-4\] which pretty clearly has a remainder of \(-4\) when you divide by \(x+2\)

Answer 3

Thanks!