Question

Use the Remainder Theorem to find the remainder when P(x) = x4 – 9x3 – 5x2 – 3x + 4 is divided by x + 3. @wolf1728 @Luigi0210

Answer 1

I'll let @wolf1728 get this one, good luck.

Answer 2

Wow - I was using the Internet to find Remainder Theorem - Wikipedia has it - I'm totally unfamiliar with it.

Answer 3

NOOOO D;

Answer 4

Well maybe I can study it a little bit more.

Answer 5

I'll just bump in to get you guys started. I think you can use the remainder theorem with synthetic division too, so start with that.

Answer 6

wait actually i think i got it is this correct?
because if you use remainder theorem you use p(-3) right?
if so then this is what i came up with?
P(-3) = (-3)^4 - 9(-3)^3 - 5(-3)^2 - 3(-3)+4
P(-3) = 81 - 9(-27) - 5(9) + 9 + 4
P(-3) = 81 + 243 - 45 + 9 + 4
P(-3) = 324 - 45 + 13
P(-3) = 337 - 45
P(-3) = 292
Then divide 292 by x+3?

Answer 7

1 -9 -5 -3 4

-1 -3

That's as far as I got with synthetic division.

Answer 8

oh ok thanks for trying though :)

Answer 9

Well Luigi is still here.

Answer 10

Here's how it would look like using synthetic:

But I feel like I messed up somewhere..