Question

could someone please help me to understand the attached document.

Answer 1

Are you trying to understand math books from the 1800s?

Answer 2

yes

Answer 3

Why? There's no point

Answer 4

why would you say that???

Answer 5

Because there isn't. I assume H.C.F means Highest Common Factor. In today's times, we call it GCF

Answer 6

On top of that, I'm not even sure if what they've done is even correct. I don't even see any common factors.

Answer 7

What they've done almost looks similar to matrices where you only work with the coefficients.

Answer 8

http://en.m.wikipedia.org/wiki/Synopsis_of_Pure_Mathematics

Answer 9

Other parts look like synthetic division.

Answer 10

Bro, if you know matrices and synthetic division, then you can figure out what they did.

Answer 11

And when you figure it out, let me know.

Answer 12

lol ok

Answer 13

Have you figured it out yet? I think I have but I'm about to go to bed.

Answer 14

All you do is write down what they did. For example, the very first thing they did was multiply the coefficients of the second polynomial by 3 which is the coefficient of the first polynomial. I'm starting to see the whole process now. I'll post something tomorrow if I remember to.

Answer 15

You'll probably have it figured out by then. Anyway, for now, I'm out.

Answer 16

it looks like euclidean algorithm for finding the GCF, applied to polynomials

Answer 17

I got what he did... But dont know how it works...

Answer 18

it's euclidean algorithm. here's a numeric counterpart:
57/15 = 3 r 12
57 = 3(15) + 12
57 - 3(15) = 12

15/12 = 1 r 3
15 = 1(12) + 3
15 - 1(12) = 3

12/3 = 4 r 0
12 = 4(3) + 0
GCF = 3

Answer 19

@hero what would i use this for? as i am having trouble finding similar problems.

Answer 20

for practice

Answer 21

Exactly why I told you it was pointless. Why would you study math from 1800s

Answer 22

there are somethings in the text that are relevant.