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

Question

dumbcow · Answer

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

dumbcow · Answer

it says 3rd degree polynomial though

anonymous · Answer

x^3 + 2x^2 - 4

anonymous · Answer

$$x^3+x^2+x+2 $$

jhonyy9 · Answer

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

anonymous · Answer

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

dumbcow · Answer

there are many possible correct answers:

--> x^3 -x +2

anonymous · Answer

A Mathematica solution is attached.