please help with this division problem

Question

gogo123 · Answer

(8x^3 +18x^2 +10x +15) / (2x+4)

gogo123 · Answer

@Mehek14 ?

gogo123 · Answer

it says i should have a quotient and a remainder

gogo123 · Answer

@Jadeishere ?

jadeishere · Answer

Do you have to use a specific method?

gogo123 · Answer

no

jadeishere · Answer

Okay.. Let's see here :)
We could do Long Division of polynomials or Synthetic division, which is quicker, and in my opinion, easier

jadeishere · Answer

which one would you like?

gogo123 · Answer

ok. whatever you think is best

jadeishere · Answer

Well alrighty then!
8x^3 +18x^2 +10x +15) / (2x+4)
We'll do long division because I don't think synthetic will work here :(
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jadeishere · Answer

would you like me to explain it, or do you understand what happened while dividing?

gogo123 · Answer

i think i might need you to explain,please

jadeishere · Answer

The quotient would be the answer and the Remainder (R) would be the leftover number at the end :P

Okay, the first thing I did was treat this like a problem without polynomials, dividing the first term in the long division sign by the first term outside of the long division sign 
$$8x^3 \div 2x = 4x^2$$

gogo123 · Answer

ok

gogo123 · Answer

so what happened to the +4?

mr_perfection_xd · Answer

medal ...

mr_perfection_xd · Answer

@gogo123

jadeishere · Answer

Okay! That's where you get the fun part, in my opinion.. !

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