You are Here: Home >< Maths

# MEI Pure 5 Remainder Theorem Question watch

1. Hi all,

Just found this question, which I am unsure of how to approach. Any help would be much appreciated

---------
QUESTION

f(x) = (x-3)(x+1)g(x) - 2x + 5
Find the remainder when [f(x )]^2 is divided by (x - 3)(x + 1)

----

Apparently the answer is -12x + 37, but how do you get it?

Thanks for any replies,

asv
2. The remainder when f(x) is divided by (x - 3)(x + 1) is (5-2x). So the remainder when [f(x)]^2 is divided by (x - 3)(x + 1) is (5-2x)^2. However, (5-2x)^2 can still divide (x - 3)(x + 1). So, to find the final remainder:
(5-2x)^2/(x - 3)(x + 1) => r = -12x+37
3. (Original post by dvs)
The remainder when f(x) is divided by (x - 3)(x + 1) is (5-2x). So the remainder when [f(x)]^2 is divided by (x - 3)(x + 1) is (5-2x)^2. However, (5-2x)^2 can still divide (x - 3)(x + 1). So, to find the final remainder:
(5-2x)^2/(x - 3)(x + 1) => r = -12x+37
Thanks!
4. which paper is that????

i hope its before 2001!

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: June 26, 2005
The home of Results and Clearing

### 2,486

people online now

### 1,567,000

students helped last year
Today on TSR

### GCSE results day guidance

All you need to know is here

### University open days

1. Bournemouth University
Wed, 22 Aug '18
2. University of Buckingham
Thu, 23 Aug '18
3. University of Glasgow
Tue, 28 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams