Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).

Question

chrishogan · Answer

2 • (x2 - x + 2) • (x + 1)

oscar123123 · Answer

2x3+2x+4




2x4+2x2+4x




2x3+2x+4+1x+2




2x3+2x2+4
those are the ones they say to choose the right one

alones · Answer

OKay, to simplify this equation let's start from here:
$$\frac{ 2x^4 +4x^3 +2x^2+8x+8 }{ x+2 }$$

oscar123123 · Answer

okai

oscar123123 · Answer

I really need help

alones · Answer

Than factor :
$$\frac{ 2(x+1)(x+2)(x^2 -x+2 }{x+2 }$$

can you solve this?
that will lead you to the answer :)

alones · Answer

@oscar123123 reduca this

mathmale · Answer

Oscar:  That method (called long division) WILL work.  however, the instructions for this problem state that you are to use SYNTHETIC DIVISION.  Have you any experience with that?

Use -2 as your divisor in synth. div.
The coefficients of the dividend are   2   4   2   8   8
and you should understand that these came from  (2x^4 + 4x^3 + 2x^2 + 8x + 8)