You are Here: Home >< Maths

# C2 Exam Question

Announcements Posted on
Last day to win £100 of Amazon vouchers - don't miss out! Take our quick survey to enter 24-10-2016
1. Hi All,

Would anyone be able to help me with this C2, June 2015 Question please?

3. f(x)= 6X (Cb.) + 3X (Sq.) + Ax + B.

Given that when f(x) is divided by (x+1) the remainder is 45,

a. Show that B - A = 48. (2 Marks)

I was able to do this question.

Given also that (2x + 1) is a factor of f(x),

b. Find the value of A and the value of B. (4 Marks)

If possible could somebody help me with question b please.

Many Thanks
2. (Original post by AgonizedGod)
Hi All,

Would anyone be able to help me with this C2, June 2015 Question please?

3. f(x)= 6X (Cb.) + 3X (Sq.) + Ax + B.

Given that when f(x) is divided by (x+1) the remainder is 45,

a. Show that B - A = 48. (2 Marks)

I was able to do this question.

Given also that (2x + 1) is a factor of f(x),

b. Find the value of A and the value of B. (4 Marks)

If possible could somebody help me with question b please.

Many Thanks
What have you tried for part b?
3. If (2x+1) is a factor of f(x) then f(-1/2)=0.
Do the same thing you do for the first part of the question to find an equation in terms of a and b.
Then it's just normal simultaneous equation to find a and b and hence f(x).
4. (Original post by SeanFM)
What have you tried for part b?
(Original post by B_9710)
If (2x+1) is a factor of f(x) then f(-1/2)=0.
Do the same thing you do for the first part of the question to find an equation in terms of a and b.
Then it's just normal simultaneous equation to find a and b and hence f(x).
I've gotten to the point myself where I managed to get: -1/2A + B = 0 and the B - A = 48 from part a. Am I right in assuming that I need to use these for my simultaneous equations?
5. (Original post by AgonizedGod)
I've gotten to the point myself where I managed to get: -1/2A + B = 0 and the B - A = 48 from part a. Am I right in assuming that I need to use these for my simultaneous equations?
Correct.
6. Thanks for the help both of you, I was able to get a final answer of A= -96 and B= -48

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: April 30, 2016
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:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams