Original post by TeeEm
improper fraction
Can you expand on that please
Original post by Abby5001
Can you expand on that please
I am teaching now
@Zacken
Original post by Abby5001
I'm trying to split this into partial fractions in order to intergrate. When I do so, I get -1 and a remainder of -x+5. But the answer of -X+5 isn't used? Why?
What do you mean it isn't used? What are you trying to do? Can you post the full question?
Original post by Zacken
What do you mean it isn't used? What are you trying to do? Can you post the full question?
'Use partial fractions to intergrate the following'
Original post by Abby5001
'Use partial fractions to intergrate the following'
Okay, so you split it up into 3 terms? One is -1, the other two are fractions with denominators of x+3 and x-1. Do you get that?
Original post by Zacken
Okay, so you split it up into 3 terms? One is -1, the other two are fractions with denominators of x+3 and x-1. Do you get that?
Original post by Abby5001
I thought as the highest powers of the denominator and numerator were equal you would have to use polynomial division before you split it into partial fractions
Well, yes - that's where the -1 comes from.
Original post by Abby5001
I thought as the highest powers of the denominator and numerator were equal you would have to use polynomial division before you split it into partial fractions
May I suggest that you run through this video: https://www.youtube.com/watch?v=GRXAoppq-IA really quickly and see an example of how to deal with partial fraction decomposition with equal numerator and denominator?
You can only use partial fractions if the degree of the top of the fraction is strictly lower than the degree of the bottom.
Since both the top and the bottom are quadtratics, you will need to divide the fraction into a quotient and remainder, perhaps using algebraic long division. This is where the -1 came from.
Since both the top and the bottom are quadtratics, you will need to divide the fraction into a quotient and remainder, perhaps using algebraic long division. This is where the -1 came from.
Original post by Zacken
May I suggest that you run through this video: https://www.youtube.com/watch?v=GRXAoppq-IA really quickly and see an example of how to deal with partial fraction decomposition with equal numerator and denominator?
Original post by Abby5001
Ok but also when you divide the fraction you get a remainder of -x+5
So now you need to partially decompose (-x+5)/(3+x)(1-x)
(assuming what you get correct)
Original post by Zacken
So now you need to partially decompose (-x+5)/(3+x)(1-x)
(assuming what you get correct)
(assuming what you get correct)
Original post by Abby5001
which means what
After your division you get:
Now do partial fractions on the last term
I understand how to do all that I just didn't get why the solution bank ignored -X+5 it makes no sense to me
Original post by Zacken
After your division you get:
Now do partial fractions on the last term
Now do partial fractions on the last term
Original post by Abby5001
I understand how to do all that I just didn't get why the solution bank ignored -X+5 it makes no sense to me
Forget the solution bank, if you know how to do it then that's good enough. I would do it this way as well.
Original post by Zacken
Forget the solution bank, if you know how to do it then that's good enough. I would do it this way as well.
Alright Thankyou
Quick Reply
Related discussions
- How many marks roughly would this question be worth (AQA A level Maths)?
- Past paper marking - A level maths OCR
- cubic function, different ways of solving it?
- Knowing which particular integral to use for ordinary differential equations
- Integrated MA
- BMO1 questions
- PSA: Do NOT buy the ti-84 for A-Levels
- MAT question help
- Funding
- Mathematics Quadratics
- Binomial Expansion Question - A Level Maths
- STEP I, II, III 1999 solutions
- intergration
- edexcel as level maths 2023 paper
- Points of inflection on a function of 9 degree
- MY YEAR 12 JOURNAL!!!! (Grow your grades)
- Rational canonical form
- University of Manchester Aerospace Engineering with an Intergrated Foundation Year
- UCLan MBBS syllabus
- Integral
Latest
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
