Question

Use the Remainder Theorem to find the remainder when
P(x) = x^4 – 9x^3 – 5x^2 – 3x + 4 is divided by x + 3.

Answer 1

Take the coefficients
= 1, -9, -5 , -3 4

the the solution to x=3=0 which is -3

now -3 | 1 -9 -5 -3 4
-3 36 -93 288
___________________________
1 -12 31 -96 292


x`3 -12x`2 +31x -96
_____________________________
x+3 | x`4 - 9x`3 - 5x`2 - 3x + 4
-(x`4 + 3x`3)
______________
-12x`3 -5x`2
-(-12`3 - 36x`2)
_________________-
31x`2 -3x
-(31x`2 +93x)
______________
-96x +4
-(-96x -288)
_____________
292

Answer 2

Omg, I understand. Thank you so much! :)

Answer 3

np!!!

Answer 4

Question, what is this " ' " by the numbers?

Answer 5

@Jenna_Da_Nerd

Answer 6

hmm, not really sure how to explain that. That's just what i learned o.o

Answer 7

Oh, ok lol, are they very important?

Answer 8

I don't think so

Answer 9

The faster way to do this is to plug in x=-3.

Answer 10

@OtonoGold that's what the remainder theorem is - tells you that the remainder of P(x) when it's divided by x+3 is the result of P(-3)

So plug x=-3 into P(x) = x^4 – 9x^3 – 5x^2 – 3x + 4 (but synthetic division is pretty quick I guess anyway)

Answer 11

-3^4-9*-3^3-5*3^2-3*-3+4?

Answer 12

the solve it ? @agent0smith

Answer 13

Yeah but you need brackets everywhere there is an x, so you don't miss any negatives. It's also much faster to use a calculator. \[\Large P(-3) = (-3)^4 – 9(-3)^3 – 5(-3)^2 – 3(-3) + 4\]

Answer 14

Oh okay. Thank you :)

Answer 15

No prob :) but you can do synthetic division if you prefer, the remainder theorem is I guess more defined that way.

Answer 16

The way she did?

Answer 17

@agent0smith

Answer 18

Yes that is synthetic division.

Answer 19

now -3 | 1 -9 -5 -3 4
-3 36 -93 288
___________________________
1 -12 31 -96 292

That ^^^

Answer 20

lel #connexuscheatingclub :3 precious

Answer 21

hell yeah ^^^ lolol