Question

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

Answer 1

all we need is a 3rd plynomial that is divisible by (x+2):

(x+2)(x)(x-1) ---> x^3 + x^2 - 2x

since you want the remainder to be -4 when divided by x+2, stick a -4 at the end...

y = x^3 + x^2 - 2x - 4

Answer 2

so do I need to replace the x's with a number that is divisible by 2?

Answer 3

no... that last line is the third degree polynomial you want.. if you want to check, use synthetic division... you'll get -4 as the remainder.... :)

Answer 4

oh okay, thanks!

Answer 5

yw...:)