C4 polynomials

My working out

Posted from TSR Mobile

1419787921631.jpg21.7KB

Reply 2

Smaug123

Original post by the_googly

My working out

Posted from TSR Mobile

You are correct: 278/27.

Reply 3

Original post by Smaug123

You are correct: 278/27.

Cool so the book is wrong

Reply 4

Smaug123

Original post by the_googly

Cool so the book is wrong

So it would appear.

Reply 5

Hi on question 4b I'm stuck on integrating x/x+1 (which I end up with in working out). Please help

Posted from TSR Mobile

1420219939603.jpg26.5KB

Reply 6

The question

Posted from TSR Mobile

1420220039292.jpg45.8KB

Reply 7

Original post by the_googly

Hi on question 4b I'm stuck on integrating x/x+1 (which I end up with in working out). Please help

Posted from TSR Mobile

\displaystyle \frac{x}{x+1}=\frac{(x+1)-1}{x+1}=1-\frac{1}{x+1}

Reply 8

You'd actually have been better advised to use the correct form of partial fractions (or perform the FULL division) at outset.

\displaystyle \frac{x(2x+1)}{x+1}=Ax+B+\frac{C}{x+1}

(edited 9 years ago)

Reply 9

Original post by Mr M

You'd actually have been better advised to use the correct form of partial fractions (or perform the division) at outset.

\displaystyle \frac{x(2x+1)}{x+1}=Ax+B+\frac{C}{x+1}

I have not seen anything like the above in my book :confused:

Reply 10

Original post by the_googly

I have not seen anything like the above in my book :confused:

Possibly not but you certainly know how to divide a quadratic by a linear term.

The form I provided is correct as the quotient must be linear.

Reply 11

That's what I've been given in the book. From My understanding when the fraction is in proper you use polynomial long division?

Posted from TSR Mobile

1420222881671.jpg54.7KB

Reply 12

Original post by the_googly

That's what I've been given in the book. From My understanding when the fraction is in proper you use polynomial long division?

Posted from TSR Mobile

Improper.

Yes that's what I just did.

Edit: You do realise you didn't complete your long division?

(edited 9 years ago)

Reply 13

Original post by Mr M

Improper.

Yes that's what I just did.

Didn't I do that?

Reply 14

Original post by Mr M

Improper.

Yes that's what I just did.

Edit: You do realise you didn't complete your long division?

No I don't lol

Reply 15