Question

What is the remainder when (x3 − 4x2 − 12x + 9) is divided by (x + 2)?

Answer 1

Do you know long or synthetic division?

Answer 2

no

Answer 3

Okay.......so did the teacher ever show how to do this problem during class? :o I can explain this in 2 ways, and I'm not sure which way your teacher wants it

Answer 4

I'll use long division:

Answer 5

Long division would be correct :P

Answer 6

Use the equation button. :)

Answer 7

Okay so I did the first step. Do you see how I did it.

Answer 8

Equation button won't let me do long-division.

Answer 9

or I'm too noob to know how..

Answer 10

I kind of see

Answer 11

Yeah, it's just doing that process over and over again.

Answer 12

just like normal division, and whatever is left is the remaindr.

Answer 13

Well instead of having you go through a long process lets just have him do this :). Save you some of the work. Subtract -6x^2 - 12x from -6x^2 -12x + 9 to get your remainder.

Answer 14

ok......

Answer 15

I can give you the entire process in words if need be later on :)

Answer 16

yes please @DivineSolar

Answer 17

wait so is the remainder 9

Answer 18

Divide the leading co-efficients of the numerator
\[\frac{ x^3 - 4x^2 - 12x + 9 }{ x + 2 }\]
and the divisor aka x + 2 : x^3/x = x^2 aka our quotient. And yes the remainder is 9

Answer 19

yay thanks

Answer 20

Sure.