Question

Fan + Medal!!!

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

Answer 1

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

can you continue?

Answer 2

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

Answer 3

loll that should be x+2

Answer 4

oh heck yes sorry
do the same with x + 2

Answer 5

(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

Answer 6

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

Answer 7

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

Answer 8

right

Answer 9

okay :) Thanks so much!

Answer 10

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

Answer 11

yw

Answer 12

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

Answer 13

@cwrw238

Answer 14

no +4 the end bit was +8 - 4

Answer 15

I made a mistake when i wrote + 8 - 8

Answer 16

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

Answer 17

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

is correct

Answer 18

oh okay! Thanks so much!!

Answer 19

yw