Question

Create your own third degree polynomial that when divided by x + 2 has a remainder of –4.

Answer 1

working backwards from synthetic division:
assuming a polynomial of the form x^3 +x^2 +x + c

-2 | 1 1 1 c

-2 2 -6
----------------
1 -1 3 -4

c-6 = -4
c = 2

--> x^3 +x^2 +x +2

Answer 2

it says 3rd degree polynomial though

Answer 3

x^3 + 2x^2 - 4

Answer 4

\[x^3+x^2+x+2 \]

Answer 5

x+2 * x2 =x3 +2x2 so you need add to this -4 for you can gett it like remainder
- so the answer will be x3 +2x2 -4

Answer 6

so it would be (2x^2+3x=z^2)(x+2)=x^3+2x^2-4 ?

Answer 7

there are many possible correct answers:

--> x^3 -x +2

Answer 8

A Mathematica solution is attached.