Fan + Medal!!!

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

Question

Fan + Medal!!!

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

cwrw238 · Answer

we can write it as 
(x  -2)^3  - 4
= (x - 2)(x^2 -4x + 4) - 4     etc

can you continue?

cwrw238 · Answer

just multiply the second bracket by x then by -2 and simplify

anonymous · Answer

loll that should be x+2

cwrw238 · Answer

oh heck yes  sorry 
do the same with x + 2

cwrw238 · Answer

(x + 2)(x^2 +4x + 4) - 4

= x^3 + 4x^2 + 4x + 2x^2 + 8x + 8 - 8

can you  finish this off  - just add like terms and you have it

cwrw238 · Answer

thats -4 at the end  - what the matter with me today!!

anonymous · Answer

so then just combine like terms and you get your polynomial?

cwrw238 · Answer

right

anonymous · Answer

okay :) Thanks so much!

cwrw238 · Answer

you should get
x^3 + 6x^2 + 12x + 4

cwrw238 · Answer

yw

anonymous · Answer

so the answer would be x³ + 6x² + 12x - 4?

anonymous · Answer

@cwrw238

cwrw238 · Answer

no +4   the end bit was +8 - 4

cwrw238 · Answer

I made a mistake when i wrote + 8 - 8

cwrw238 · Answer

ok? i must be tired i'm making silly mistakes all the time

cwrw238 · Answer

x^3 + 6x^2 + 12x + 4

is correct

anonymous · Answer

oh okay! Thanks so much!!

cwrw238 · Answer

yw