You are Here: Home >< Maths

# C3: Polynomial Division.

Announcements Posted on
Why bother with a post grad? Are they even worth it? Have your say! 26-10-2016
1. Chapter: Algebraic Fractions
Mixed Exercise 1E. Question 5.

https://www.biochemtuition.com/wp-co...-fractions.pdf

I can get the answer using long division, but how do i do it using the factor theorem.

F(x)=(Ax^2+Bx+C)(X^2-1)+Dx+E

Is that wrong, if so how do i do it?
2. Eww colour

you let x^2 = 1 and the answer is C
There you compare coefficients for B
3. (Original post by ValerieKR)
Eww colour

you let x^2 = 1 and the answer is C
There you compare coefficients for B
I got D = 3 not C is their something i'm doing wrong? Is it not correct to do F(x)=(Ax^2+Bx+C)(X^2-1)+Dx+E?
4. (Original post by Paranoid_Glitch)
I got D = 3 not C is their something i'm doing wrong? Is it not correct to do F(x)=(Ax^2+Bx+C)(X^2-1)+Dx+E?
Do you mean Q6, not Q5?
5. (Original post by ValerieKR)
Do you mean Q6, not Q5?
Alright now i know i'm messing something up. Still on Question 5, could you do the entire question?
6. (Original post by Paranoid_Glitch)
Alright now i know i'm messing something up. Still on Question 5, could you do the entire question?
Just use long division.
7. (Original post by RDKGames)
Just use long division.
Yeah i know how to. But the person i'm showing wants to know how to do it using the remainder theorem
8. (Original post by Paranoid_Glitch)
Yeah i know how to. But the person i'm showing wants to know how to do it using the factor theorem
The factor theorem just tests whether something is a factor of a function equaling 0. The remainder theorem will get you the remainder. Neither method will give you the full expression.
9. (Original post by Paranoid_Glitch)
Alright now i know i'm messing something up. Still on Question 5, could you do the entire question?
For Q5:

- now expand and compare coefficients.
10. (Original post by Zacken)
For Q5:

- now expand and compare coefficients.
Why just (X^2+B) and not (Ax^2 + Bx +C) ?
11. (Original post by Paranoid_Glitch)
Why just (X^2+B) and not (Ax^2 + Bx +C) ?
Are we looking at the same question?

It say to find such that . Multiply both sides by to turn it into a polynomial identity:

I'm really not sure where your A,B, C has come from...

## 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: September 8, 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

### Who is getting a uni offer this half term?

Find out which unis are hot off the mark here

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