Question

What is the remainder when (x3 − 3x2 − 13x + 78) is divided by (x + 4)?

Answer 1

If you know synthetic division, you can just use that to figure out the remainder. However, if you don't you can plug in x = -4 to find the remainder.

Answer 2

So, either or you can evaluate \((-4)^3-3(-4)^2-13(-4)+78.\)

Answer 3

ok give me a sec

Answer 4

o ok . o its 15

Answer 5

so*

Answer 6

Not quite. I think you made an arithmetic mistake.

Answer 7

\[(-4)^3-3(-4)^2-13(-4)+78=-64-48+52+78=4+14=18\]

Answer 8

oooooo

Answer 9

Also, if you were to do the synthetic method (which I think is easier for these bigger numbers, you'd get: